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Simplifying -7(x + -12) + 2(x + -12) = 4(x + 1) + 9 Reorder the terms: -7(-12 + x) + 2(x + -12) = 4(x + 1) + 9 (-12 * -7 + x * -7) + 2(x + -12) = 4(x + 1) + 9 (84 + -7x) + 2(x + -12) = 4(x + 1) + 9 Reorder the terms: 84 + -7x + 2(-12 + x) = 4(x + 1) + 9 84 + -7x + (-12 * 2 + x * 2) = 4(x + 1) + 9 84 + -7x + (-24 + 2x) = 4(x + 1) + 9 Reorder the terms: 84 + -24 + -7x + 2x = 4(x + 1) + 9 Combine like terms: 84 + -24 = 60 60 + -7x + 2x = 4(x + 1) + 9 Combine like terms: -7x + 2x = -5x 60 + -5x = 4(x + 1) + 9 Reorder the terms: 60 + -5x = 4(1 + x) + 9 60 + -5x = (1 * 4 + x * 4) + 9 60 + -5x = (4 + 4x) + 9 Reorder the terms: 60 + -5x = 4 + 9 + 4x Combine like terms: 4 + 9 = 13 60 + -5x = 13 + 4x Solving 60 + -5x = 13 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 60 + -5x + -4x = 13 + 4x + -4x Combine like terms: -5x + -4x = -9x 60 + -9x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 60 + -9x = 13 + 0 60 + -9x = 13 Add '-60' to each side of the equation. 60 + -60 + -9x = 13 + -60 Combine like terms: 60 + -60 = 0 0 + -9x = 13 + -60 -9x = 13 + -60 Combine like terms: 13 + -60 = -47 -9x = -47 Divide each side by '-9'. x = 5.222222222 Simplifying x = 5.222222222
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