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Simplifying -6(x + -3) + 4x = 3(x + -4) Reorder the terms: -6(-3 + x) + 4x = 3(x + -4) (-3 * -6 + x * -6) + 4x = 3(x + -4) (18 + -6x) + 4x = 3(x + -4) Combine like terms: -6x + 4x = -2x 18 + -2x = 3(x + -4) Reorder the terms: 18 + -2x = 3(-4 + x) 18 + -2x = (-4 * 3 + x * 3) 18 + -2x = (-12 + 3x) Solving 18 + -2x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 18 + -2x + -3x = -12 + 3x + -3x Combine like terms: -2x + -3x = -5x 18 + -5x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + -5x = -12 + 0 18 + -5x = -12 Add '-18' to each side of the equation. 18 + -18 + -5x = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -5x = -12 + -18 -5x = -12 + -18 Combine like terms: -12 + -18 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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