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Simplifying 4(x + -2) + -3x = 2(x + -6) Reorder the terms: 4(-2 + x) + -3x = 2(x + -6) (-2 * 4 + x * 4) + -3x = 2(x + -6) (-8 + 4x) + -3x = 2(x + -6) Combine like terms: 4x + -3x = 1x -8 + 1x = 2(x + -6) Reorder the terms: -8 + 1x = 2(-6 + x) -8 + 1x = (-6 * 2 + x * 2) -8 + 1x = (-12 + 2x) Solving -8 + 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. -8 + 1x + -2x = -12 + 2x + -2x Combine like terms: 1x + -2x = -1x -8 + -1x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -1x = -12 + 0 -8 + -1x = -12 Add '8' to each side of the equation. -8 + 8 + -1x = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -12 + 8 -1x = -12 + 8 Combine like terms: -12 + 8 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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