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Simplifying 4(x + -2) + -3(x + -1) = 2(x + -6) Reorder the terms: 4(-2 + x) + -3(x + -1) = 2(x + -6) (-2 * 4 + x * 4) + -3(x + -1) = 2(x + -6) (-8 + 4x) + -3(x + -1) = 2(x + -6) Reorder the terms: -8 + 4x + -3(-1 + x) = 2(x + -6) -8 + 4x + (-1 * -3 + x * -3) = 2(x + -6) -8 + 4x + (3 + -3x) = 2(x + -6) Reorder the terms: -8 + 3 + 4x + -3x = 2(x + -6) Combine like terms: -8 + 3 = -5 -5 + 4x + -3x = 2(x + -6) Combine like terms: 4x + -3x = 1x -5 + 1x = 2(x + -6) Reorder the terms: -5 + 1x = 2(-6 + x) -5 + 1x = (-6 * 2 + x * 2) -5 + 1x = (-12 + 2x) Solving -5 + 1x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 1x + -2x = -12 + 2x + -2x Combine like terms: 1x + -2x = -1x -5 + -1x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -1x = -12 + 0 -5 + -1x = -12 Add '5' to each side of the equation. -5 + 5 + -1x = -12 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -12 + 5 -1x = -12 + 5 Combine like terms: -12 + 5 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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