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Simplifying 4(x + 3) = 12(x + -7) Reorder the terms: 4(3 + x) = 12(x + -7) (3 * 4 + x * 4) = 12(x + -7) (12 + 4x) = 12(x + -7) Reorder the terms: 12 + 4x = 12(-7 + x) 12 + 4x = (-7 * 12 + x * 12) 12 + 4x = (-84 + 12x) Solving 12 + 4x = -84 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 12 + 4x + -12x = -84 + 12x + -12x Combine like terms: 4x + -12x = -8x 12 + -8x = -84 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -8x = -84 + 0 12 + -8x = -84 Add '-12' to each side of the equation. 12 + -12 + -8x = -84 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = -84 + -12 -8x = -84 + -12 Combine like terms: -84 + -12 = -96 -8x = -96 Divide each side by '-8'. x = 12 Simplifying x = 12
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