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Simplifying 9x + -1(4x + -12) = 3(7 + x) + 7 Reorder the terms: 9x + -1(-12 + 4x) = 3(7 + x) + 7 9x + (-12 * -1 + 4x * -1) = 3(7 + x) + 7 9x + (12 + -4x) = 3(7 + x) + 7 Reorder the terms: 12 + 9x + -4x = 3(7 + x) + 7 Combine like terms: 9x + -4x = 5x 12 + 5x = 3(7 + x) + 7 12 + 5x = (7 * 3 + x * 3) + 7 12 + 5x = (21 + 3x) + 7 Reorder the terms: 12 + 5x = 21 + 7 + 3x Combine like terms: 21 + 7 = 28 12 + 5x = 28 + 3x Solving 12 + 5x = 28 + 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 + 5x + -3x = 28 + 3x + -3x Combine like terms: 5x + -3x = 2x 12 + 2x = 28 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 2x = 28 + 0 12 + 2x = 28 Add '-12' to each side of the equation. 12 + -12 + 2x = 28 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 28 + -12 2x = 28 + -12 Combine like terms: 28 + -12 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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