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Simplifying -3(5 + -9x) + 2 = -2x + -1(12 + 4) (5 * -3 + -9x * -3) + 2 = -2x + -1(12 + 4) (-15 + 27x) + 2 = -2x + -1(12 + 4) Reorder the terms: -15 + 2 + 27x = -2x + -1(12 + 4) Combine like terms: -15 + 2 = -13 -13 + 27x = -2x + -1(12 + 4) Combine like terms: 12 + 4 = 16 -13 + 27x = -2x + -1(16) Multiply -1 * 16 -13 + 27x = -2x + -16 Reorder the terms: -13 + 27x = -16 + -2x Solving -13 + 27x = -16 + -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. -13 + 27x + 2x = -16 + -2x + 2x Combine like terms: 27x + 2x = 29x -13 + 29x = -16 + -2x + 2x Combine like terms: -2x + 2x = 0 -13 + 29x = -16 + 0 -13 + 29x = -16 Add '13' to each side of the equation. -13 + 13 + 29x = -16 + 13 Combine like terms: -13 + 13 = 0 0 + 29x = -16 + 13 29x = -16 + 13 Combine like terms: -16 + 13 = -3 29x = -3 Divide each side by '29'. x = -0.1034482759 Simplifying x = -0.1034482759
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