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Simplifying 4x + -3(x + -4) = 2(x + -6) Reorder the terms: 4x + -3(-4 + x) = 2(x + -6) 4x + (-4 * -3 + x * -3) = 2(x + -6) 4x + (12 + -3x) = 2(x + -6) Reorder the terms: 12 + 4x + -3x = 2(x + -6) Combine like terms: 4x + -3x = 1x 12 + 1x = 2(x + -6) Reorder the terms: 12 + 1x = 2(-6 + x) 12 + 1x = (-6 * 2 + x * 2) 12 + 1x = (-12 + 2x) Solving 12 + 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. 12 + 1x + -2x = -12 + 2x + -2x Combine like terms: 1x + -2x = -1x 12 + -1x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -1x = -12 + 0 12 + -1x = -12 Add '-12' to each side of the equation. 12 + -12 + -1x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = -12 + -12 -1x = -12 + -12 Combine like terms: -12 + -12 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24
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