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