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Simplifying 3(-1x + -2) = 5(2x + 9) Reorder the terms: 3(-2 + -1x) = 5(2x + 9) (-2 * 3 + -1x * 3) = 5(2x + 9) (-6 + -3x) = 5(2x + 9) Reorder the terms: -6 + -3x = 5(9 + 2x) -6 + -3x = (9 * 5 + 2x * 5) -6 + -3x = (45 + 10x) Solving -6 + -3x = 45 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -6 + -3x + -10x = 45 + 10x + -10x Combine like terms: -3x + -10x = -13x -6 + -13x = 45 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -13x = 45 + 0 -6 + -13x = 45 Add '6' to each side of the equation. -6 + 6 + -13x = 45 + 6 Combine like terms: -6 + 6 = 0 0 + -13x = 45 + 6 -13x = 45 + 6 Combine like terms: 45 + 6 = 51 -13x = 51 Divide each side by '-13'. x = -3.923076923 Simplifying x = -3.923076923
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