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Simplifying -3x + -2(9 + 5x) = 12 + -2(2x + -2) -3x + (9 * -2 + 5x * -2) = 12 + -2(2x + -2) -3x + (-18 + -10x) = 12 + -2(2x + -2) Reorder the terms: -18 + -3x + -10x = 12 + -2(2x + -2) Combine like terms: -3x + -10x = -13x -18 + -13x = 12 + -2(2x + -2) Reorder the terms: -18 + -13x = 12 + -2(-2 + 2x) -18 + -13x = 12 + (-2 * -2 + 2x * -2) -18 + -13x = 12 + (4 + -4x) Combine like terms: 12 + 4 = 16 -18 + -13x = 16 + -4x Solving -18 + -13x = 16 + -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. -18 + -13x + 4x = 16 + -4x + 4x Combine like terms: -13x + 4x = -9x -18 + -9x = 16 + -4x + 4x Combine like terms: -4x + 4x = 0 -18 + -9x = 16 + 0 -18 + -9x = 16 Add '18' to each side of the equation. -18 + 18 + -9x = 16 + 18 Combine like terms: -18 + 18 = 0 0 + -9x = 16 + 18 -9x = 16 + 18 Combine like terms: 16 + 18 = 34 -9x = 34 Divide each side by '-9'. x = -3.777777778 Simplifying x = -3.777777778
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