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Simplifying 12 = -3(24 + -1x) + 3(x + -4) 12 = (24 * -3 + -1x * -3) + 3(x + -4) 12 = (-72 + 3x) + 3(x + -4) Reorder the terms: 12 = -72 + 3x + 3(-4 + x) 12 = -72 + 3x + (-4 * 3 + x * 3) 12 = -72 + 3x + (-12 + 3x) Reorder the terms: 12 = -72 + -12 + 3x + 3x Combine like terms: -72 + -12 = -84 12 = -84 + 3x + 3x Combine like terms: 3x + 3x = 6x 12 = -84 + 6x Solving 12 = -84 + 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. 12 + -6x = -84 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -6x = -84 + 0 12 + -6x = -84 Add '-12' to each side of the equation. 12 + -12 + -6x = -84 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = -84 + -12 -6x = -84 + -12 Combine like terms: -84 + -12 = -96 -6x = -96 Divide each side by '-6'. x = 16 Simplifying x = 16
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