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Simplifying 15(x + -4) + -2(x + -9) = 2(x + -1) Reorder the terms: 15(-4 + x) + -2(x + -9) = 2(x + -1) (-4 * 15 + x * 15) + -2(x + -9) = 2(x + -1) (-60 + 15x) + -2(x + -9) = 2(x + -1) Reorder the terms: -60 + 15x + -2(-9 + x) = 2(x + -1) -60 + 15x + (-9 * -2 + x * -2) = 2(x + -1) -60 + 15x + (18 + -2x) = 2(x + -1) Reorder the terms: -60 + 18 + 15x + -2x = 2(x + -1) Combine like terms: -60 + 18 = -42 -42 + 15x + -2x = 2(x + -1) Combine like terms: 15x + -2x = 13x -42 + 13x = 2(x + -1) Reorder the terms: -42 + 13x = 2(-1 + x) -42 + 13x = (-1 * 2 + x * 2) -42 + 13x = (-2 + 2x) Solving -42 + 13x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -42 + 13x + -2x = -2 + 2x + -2x Combine like terms: 13x + -2x = 11x -42 + 11x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -42 + 11x = -2 + 0 -42 + 11x = -2 Add '42' to each side of the equation. -42 + 42 + 11x = -2 + 42 Combine like terms: -42 + 42 = 0 0 + 11x = -2 + 42 11x = -2 + 42 Combine like terms: -2 + 42 = 40 11x = 40 Divide each side by '11'. x = 3.636363636 Simplifying x = 3.636363636
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