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Simplifying -3x + 12 = 7(x + -4) Reorder the terms: 12 + -3x = 7(x + -4) Reorder the terms: 12 + -3x = 7(-4 + x) 12 + -3x = (-4 * 7 + x * 7) 12 + -3x = (-28 + 7x) Solving 12 + -3x = -28 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + -3x + -7x = -28 + 7x + -7x Combine like terms: -3x + -7x = -10x 12 + -10x = -28 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -10x = -28 + 0 12 + -10x = -28 Add '-12' to each side of the equation. 12 + -12 + -10x = -28 + -12 Combine like terms: 12 + -12 = 0 0 + -10x = -28 + -12 -10x = -28 + -12 Combine like terms: -28 + -12 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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