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Simplifying -7x + 12 = -3(x + 4) Reorder the terms: 12 + -7x = -3(x + 4) Reorder the terms: 12 + -7x = -3(4 + x) 12 + -7x = (4 * -3 + x * -3) 12 + -7x = (-12 + -3x) Solving 12 + -7x = -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. 12 + -7x + 3x = -12 + -3x + 3x Combine like terms: -7x + 3x = -4x 12 + -4x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + -4x = -12 + 0 12 + -4x = -12 Add '-12' to each side of the equation. 12 + -12 + -4x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -12 + -12 -4x = -12 + -12 Combine like terms: -12 + -12 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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