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Simplifying 15x + -1(3x + -5.5) = 10x + 3(x + -9.5) Reorder the terms: 15x + -1(-5.5 + 3x) = 10x + 3(x + -9.5) 15x + (-5.5 * -1 + 3x * -1) = 10x + 3(x + -9.5) 15x + (5.5 + -3x) = 10x + 3(x + -9.5) Reorder the terms: 5.5 + 15x + -3x = 10x + 3(x + -9.5) Combine like terms: 15x + -3x = 12x 5.5 + 12x = 10x + 3(x + -9.5) Reorder the terms: 5.5 + 12x = 10x + 3(-9.5 + x) 5.5 + 12x = 10x + (-9.5 * 3 + x * 3) 5.5 + 12x = 10x + (-28.5 + 3x) Reorder the terms: 5.5 + 12x = -28.5 + 10x + 3x Combine like terms: 10x + 3x = 13x 5.5 + 12x = -28.5 + 13x Solving 5.5 + 12x = -28.5 + 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. 5.5 + 12x + -13x = -28.5 + 13x + -13x Combine like terms: 12x + -13x = -1x 5.5 + -1x = -28.5 + 13x + -13x Combine like terms: 13x + -13x = 0 5.5 + -1x = -28.5 + 0 5.5 + -1x = -28.5 Add '-5.5' to each side of the equation. 5.5 + -5.5 + -1x = -28.5 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + -1x = -28.5 + -5.5 -1x = -28.5 + -5.5 Combine like terms: -28.5 + -5.5 = -34 -1x = -34 Divide each side by '-1'. x = 34 Simplifying x = 34
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