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Simplifying 6(x + -2) = 4(x + -2 + 3x) + 7 Reorder the terms: 6(-2 + x) = 4(x + -2 + 3x) + 7 (-2 * 6 + x * 6) = 4(x + -2 + 3x) + 7 (-12 + 6x) = 4(x + -2 + 3x) + 7 Reorder the terms: -12 + 6x = 4(-2 + x + 3x) + 7 Combine like terms: x + 3x = 4x -12 + 6x = 4(-2 + 4x) + 7 -12 + 6x = (-2 * 4 + 4x * 4) + 7 -12 + 6x = (-8 + 16x) + 7 Reorder the terms: -12 + 6x = -8 + 7 + 16x Combine like terms: -8 + 7 = -1 -12 + 6x = -1 + 16x Solving -12 + 6x = -1 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -12 + 6x + -16x = -1 + 16x + -16x Combine like terms: 6x + -16x = -10x -12 + -10x = -1 + 16x + -16x Combine like terms: 16x + -16x = 0 -12 + -10x = -1 + 0 -12 + -10x = -1 Add '12' to each side of the equation. -12 + 12 + -10x = -1 + 12 Combine like terms: -12 + 12 = 0 0 + -10x = -1 + 12 -10x = -1 + 12 Combine like terms: -1 + 12 = 11 -10x = 11 Divide each side by '-10'. x = -1.1 Simplifying x = -1.1
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