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Simplifying 3(x + 1) + -9x = 12 + -1(2x + -7) Reorder the terms: 3(1 + x) + -9x = 12 + -1(2x + -7) (1 * 3 + x * 3) + -9x = 12 + -1(2x + -7) (3 + 3x) + -9x = 12 + -1(2x + -7) Combine like terms: 3x + -9x = -6x 3 + -6x = 12 + -1(2x + -7) Reorder the terms: 3 + -6x = 12 + -1(-7 + 2x) 3 + -6x = 12 + (-7 * -1 + 2x * -1) 3 + -6x = 12 + (7 + -2x) Combine like terms: 12 + 7 = 19 3 + -6x = 19 + -2x Solving 3 + -6x = 19 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 3 + -6x + 2x = 19 + -2x + 2x Combine like terms: -6x + 2x = -4x 3 + -4x = 19 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + -4x = 19 + 0 3 + -4x = 19 Add '-3' to each side of the equation. 3 + -3 + -4x = 19 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 19 + -3 -4x = 19 + -3 Combine like terms: 19 + -3 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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