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Simplifying 3(5x + -6) + -2 = x + -1(17 + -1x) Reorder the terms: 3(-6 + 5x) + -2 = x + -1(17 + -1x) (-6 * 3 + 5x * 3) + -2 = x + -1(17 + -1x) (-18 + 15x) + -2 = x + -1(17 + -1x) Reorder the terms: -18 + -2 + 15x = x + -1(17 + -1x) Combine like terms: -18 + -2 = -20 -20 + 15x = x + -1(17 + -1x) -20 + 15x = x + (17 * -1 + -1x * -1) -20 + 15x = x + (-17 + 1x) Reorder the terms: -20 + 15x = -17 + x + 1x Combine like terms: x + 1x = 2x -20 + 15x = -17 + 2x Solving -20 + 15x = -17 + 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. -20 + 15x + -2x = -17 + 2x + -2x Combine like terms: 15x + -2x = 13x -20 + 13x = -17 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 13x = -17 + 0 -20 + 13x = -17 Add '20' to each side of the equation. -20 + 20 + 13x = -17 + 20 Combine like terms: -20 + 20 = 0 0 + 13x = -17 + 20 13x = -17 + 20 Combine like terms: -17 + 20 = 3 13x = 3 Divide each side by '13'. x = 0.2307692308 Simplifying x = 0.2307692308
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