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Simplifying 12 + -1(5 + -7x) = -3(x + 7) + -12 12 + (5 * -1 + -7x * -1) = -3(x + 7) + -12 12 + (-5 + 7x) = -3(x + 7) + -12 Combine like terms: 12 + -5 = 7 7 + 7x = -3(x + 7) + -12 Reorder the terms: 7 + 7x = -3(7 + x) + -12 7 + 7x = (7 * -3 + x * -3) + -12 7 + 7x = (-21 + -3x) + -12 Reorder the terms: 7 + 7x = -21 + -12 + -3x Combine like terms: -21 + -12 = -33 7 + 7x = -33 + -3x Solving 7 + 7x = -33 + -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. 7 + 7x + 3x = -33 + -3x + 3x Combine like terms: 7x + 3x = 10x 7 + 10x = -33 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + 10x = -33 + 0 7 + 10x = -33 Add '-7' to each side of the equation. 7 + -7 + 10x = -33 + -7 Combine like terms: 7 + -7 = 0 0 + 10x = -33 + -7 10x = -33 + -7 Combine like terms: -33 + -7 = -40 10x = -40 Divide each side by '10'. x = -4 Simplifying x = -4
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