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Simplifying -1(x + -12) + 3(x + 3) = 9(x + 4) Reorder the terms: -1(-12 + x) + 3(x + 3) = 9(x + 4) (-12 * -1 + x * -1) + 3(x + 3) = 9(x + 4) (12 + -1x) + 3(x + 3) = 9(x + 4) Reorder the terms: 12 + -1x + 3(3 + x) = 9(x + 4) 12 + -1x + (3 * 3 + x * 3) = 9(x + 4) 12 + -1x + (9 + 3x) = 9(x + 4) Reorder the terms: 12 + 9 + -1x + 3x = 9(x + 4) Combine like terms: 12 + 9 = 21 21 + -1x + 3x = 9(x + 4) Combine like terms: -1x + 3x = 2x 21 + 2x = 9(x + 4) Reorder the terms: 21 + 2x = 9(4 + x) 21 + 2x = (4 * 9 + x * 9) 21 + 2x = (36 + 9x) Solving 21 + 2x = 36 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 21 + 2x + -9x = 36 + 9x + -9x Combine like terms: 2x + -9x = -7x 21 + -7x = 36 + 9x + -9x Combine like terms: 9x + -9x = 0 21 + -7x = 36 + 0 21 + -7x = 36 Add '-21' to each side of the equation. 21 + -21 + -7x = 36 + -21 Combine like terms: 21 + -21 = 0 0 + -7x = 36 + -21 -7x = 36 + -21 Combine like terms: 36 + -21 = 15 -7x = 15 Divide each side by '-7'. x = -2.142857143 Simplifying x = -2.142857143
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