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Simplifying -1(11x + -13) + 45 + -1x = 3(6 + -9x) + 17x + 10 Reorder the terms: -1(-13 + 11x) + 45 + -1x = 3(6 + -9x) + 17x + 10 (-13 * -1 + 11x * -1) + 45 + -1x = 3(6 + -9x) + 17x + 10 (13 + -11x) + 45 + -1x = 3(6 + -9x) + 17x + 10 Reorder the terms: 13 + 45 + -11x + -1x = 3(6 + -9x) + 17x + 10 Combine like terms: 13 + 45 = 58 58 + -11x + -1x = 3(6 + -9x) + 17x + 10 Combine like terms: -11x + -1x = -12x 58 + -12x = 3(6 + -9x) + 17x + 10 58 + -12x = (6 * 3 + -9x * 3) + 17x + 10 58 + -12x = (18 + -27x) + 17x + 10 Reorder the terms: 58 + -12x = 18 + 10 + -27x + 17x Combine like terms: 18 + 10 = 28 58 + -12x = 28 + -27x + 17x Combine like terms: -27x + 17x = -10x 58 + -12x = 28 + -10x Solving 58 + -12x = 28 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 58 + -12x + 10x = 28 + -10x + 10x Combine like terms: -12x + 10x = -2x 58 + -2x = 28 + -10x + 10x Combine like terms: -10x + 10x = 0 58 + -2x = 28 + 0 58 + -2x = 28 Add '-58' to each side of the equation. 58 + -58 + -2x = 28 + -58 Combine like terms: 58 + -58 = 0 0 + -2x = 28 + -58 -2x = 28 + -58 Combine like terms: 28 + -58 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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