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Simplifying 5 + -1(3x + 9) + -2x = 15x + -2(x + -5) Reorder the terms: 5 + -1(9 + 3x) + -2x = 15x + -2(x + -5) 5 + (9 * -1 + 3x * -1) + -2x = 15x + -2(x + -5) 5 + (-9 + -3x) + -2x = 15x + -2(x + -5) Combine like terms: 5 + -9 = -4 -4 + -3x + -2x = 15x + -2(x + -5) Combine like terms: -3x + -2x = -5x -4 + -5x = 15x + -2(x + -5) Reorder the terms: -4 + -5x = 15x + -2(-5 + x) -4 + -5x = 15x + (-5 * -2 + x * -2) -4 + -5x = 15x + (10 + -2x) Reorder the terms: -4 + -5x = 10 + 15x + -2x Combine like terms: 15x + -2x = 13x -4 + -5x = 10 + 13x Solving -4 + -5x = 10 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -4 + -5x + -13x = 10 + 13x + -13x Combine like terms: -5x + -13x = -18x -4 + -18x = 10 + 13x + -13x Combine like terms: 13x + -13x = 0 -4 + -18x = 10 + 0 -4 + -18x = 10 Add '4' to each side of the equation. -4 + 4 + -18x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -18x = 10 + 4 -18x = 10 + 4 Combine like terms: 10 + 4 = 14 -18x = 14 Divide each side by '-18'. x = -0.7777777778 Simplifying x = -0.7777777778
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