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Simplifying 4 + 6(x + -2) + -4(2x + 1) + -2x = -1x + 7 + 9x + -3 + -2(x + -7) Reorder the terms: 4 + 6(-2 + x) + -4(2x + 1) + -2x = -1x + 7 + 9x + -3 + -2(x + -7) 4 + (-2 * 6 + x * 6) + -4(2x + 1) + -2x = -1x + 7 + 9x + -3 + -2(x + -7) 4 + (-12 + 6x) + -4(2x + 1) + -2x = -1x + 7 + 9x + -3 + -2(x + -7) Reorder the terms: 4 + -12 + 6x + -4(1 + 2x) + -2x = -1x + 7 + 9x + -3 + -2(x + -7) 4 + -12 + 6x + (1 * -4 + 2x * -4) + -2x = -1x + 7 + 9x + -3 + -2(x + -7) 4 + -12 + 6x + (-4 + -8x) + -2x = -1x + 7 + 9x + -3 + -2(x + -7) Reorder the terms: 4 + -12 + -4 + 6x + -8x + -2x = -1x + 7 + 9x + -3 + -2(x + -7) Combine like terms: 4 + -12 = -8 -8 + -4 + 6x + -8x + -2x = -1x + 7 + 9x + -3 + -2(x + -7) Combine like terms: -8 + -4 = -12 -12 + 6x + -8x + -2x = -1x + 7 + 9x + -3 + -2(x + -7) Combine like terms: 6x + -8x = -2x -12 + -2x + -2x = -1x + 7 + 9x + -3 + -2(x + -7) Combine like terms: -2x + -2x = -4x -12 + -4x = -1x + 7 + 9x + -3 + -2(x + -7) Reorder the terms: -12 + -4x = -1x + 7 + 9x + -3 + -2(-7 + x) -12 + -4x = -1x + 7 + 9x + -3 + (-7 * -2 + x * -2) -12 + -4x = -1x + 7 + 9x + -3 + (14 + -2x) Reorder the terms: -12 + -4x = 7 + -3 + 14 + -1x + 9x + -2x Combine like terms: 7 + -3 = 4 -12 + -4x = 4 + 14 + -1x + 9x + -2x Combine like terms: 4 + 14 = 18 -12 + -4x = 18 + -1x + 9x + -2x Combine like terms: -1x + 9x = 8x -12 + -4x = 18 + 8x + -2x Combine like terms: 8x + -2x = 6x -12 + -4x = 18 + 6x Solving -12 + -4x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + -4x + -6x = 18 + 6x + -6x Combine like terms: -4x + -6x = -10x -12 + -10x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -10x = 18 + 0 -12 + -10x = 18 Add '12' to each side of the equation. -12 + 12 + -10x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + -10x = 18 + 12 -10x = 18 + 12 Combine like terms: 18 + 12 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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