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Simplifying 4(x + 1) = 7(x + -2) + -12 Reorder the terms: 4(1 + x) = 7(x + -2) + -12 (1 * 4 + x * 4) = 7(x + -2) + -12 (4 + 4x) = 7(x + -2) + -12 Reorder the terms: 4 + 4x = 7(-2 + x) + -12 4 + 4x = (-2 * 7 + x * 7) + -12 4 + 4x = (-14 + 7x) + -12 Reorder the terms: 4 + 4x = -14 + -12 + 7x Combine like terms: -14 + -12 = -26 4 + 4x = -26 + 7x Solving 4 + 4x = -26 + 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. 4 + 4x + -7x = -26 + 7x + -7x Combine like terms: 4x + -7x = -3x 4 + -3x = -26 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -3x = -26 + 0 4 + -3x = -26 Add '-4' to each side of the equation. 4 + -4 + -3x = -26 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = -26 + -4 -3x = -26 + -4 Combine like terms: -26 + -4 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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