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Simplifying 3x + 72 + -12x + 5x = 3(-4 + -2x) Reorder the terms: 72 + 3x + -12x + 5x = 3(-4 + -2x) Combine like terms: 3x + -12x = -9x 72 + -9x + 5x = 3(-4 + -2x) Combine like terms: -9x + 5x = -4x 72 + -4x = 3(-4 + -2x) 72 + -4x = (-4 * 3 + -2x * 3) 72 + -4x = (-12 + -6x) Solving 72 + -4x = -12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 72 + -4x + 6x = -12 + -6x + 6x Combine like terms: -4x + 6x = 2x 72 + 2x = -12 + -6x + 6x Combine like terms: -6x + 6x = 0 72 + 2x = -12 + 0 72 + 2x = -12 Add '-72' to each side of the equation. 72 + -72 + 2x = -12 + -72 Combine like terms: 72 + -72 = 0 0 + 2x = -12 + -72 2x = -12 + -72 Combine like terms: -12 + -72 = -84 2x = -84 Divide each side by '2'. x = -42 Simplifying x = -42
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