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Simplifying 76 + -1(4x + 12) = 4(x + 7) + x Reorder the terms: 76 + -1(12 + 4x) = 4(x + 7) + x 76 + (12 * -1 + 4x * -1) = 4(x + 7) + x 76 + (-12 + -4x) = 4(x + 7) + x Combine like terms: 76 + -12 = 64 64 + -4x = 4(x + 7) + x Reorder the terms: 64 + -4x = 4(7 + x) + x 64 + -4x = (7 * 4 + x * 4) + x 64 + -4x = (28 + 4x) + x Combine like terms: 4x + x = 5x 64 + -4x = 28 + 5x Solving 64 + -4x = 28 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 64 + -4x + -5x = 28 + 5x + -5x Combine like terms: -4x + -5x = -9x 64 + -9x = 28 + 5x + -5x Combine like terms: 5x + -5x = 0 64 + -9x = 28 + 0 64 + -9x = 28 Add '-64' to each side of the equation. 64 + -64 + -9x = 28 + -64 Combine like terms: 64 + -64 = 0 0 + -9x = 28 + -64 -9x = 28 + -64 Combine like terms: 28 + -64 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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