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Simplifying 5x + -1(3x + 9) + -2x = 15x + -2(x + -5) Reorder the terms: 5x + -1(9 + 3x) + -2x = 15x + -2(x + -5) 5x + (9 * -1 + 3x * -1) + -2x = 15x + -2(x + -5) 5x + (-9 + -3x) + -2x = 15x + -2(x + -5) Reorder the terms: -9 + 5x + -3x + -2x = 15x + -2(x + -5) Combine like terms: 5x + -3x = 2x -9 + 2x + -2x = 15x + -2(x + -5) Combine like terms: 2x + -2x = 0 -9 + 0 = 15x + -2(x + -5) -9 = 15x + -2(x + -5) Reorder the terms: -9 = 15x + -2(-5 + x) -9 = 15x + (-5 * -2 + x * -2) -9 = 15x + (10 + -2x) Reorder the terms: -9 = 10 + 15x + -2x Combine like terms: 15x + -2x = 13x -9 = 10 + 13x Solving -9 = 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. -9 + -13x = 10 + 13x + -13x Combine like terms: 13x + -13x = 0 -9 + -13x = 10 + 0 -9 + -13x = 10 Add '9' to each side of the equation. -9 + 9 + -13x = 10 + 9 Combine like terms: -9 + 9 = 0 0 + -13x = 10 + 9 -13x = 10 + 9 Combine like terms: 10 + 9 = 19 -13x = 19 Divide each side by '-13'. x = -1.461538462 Simplifying x = -1.461538462
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