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Simplifying 8(-3x + -1) + -1(2x + -10) = 8(2x + 1) + -3(9x + 12) Reorder the terms: 8(-1 + -3x) + -1(2x + -10) = 8(2x + 1) + -3(9x + 12) (-1 * 8 + -3x * 8) + -1(2x + -10) = 8(2x + 1) + -3(9x + 12) (-8 + -24x) + -1(2x + -10) = 8(2x + 1) + -3(9x + 12) Reorder the terms: -8 + -24x + -1(-10 + 2x) = 8(2x + 1) + -3(9x + 12) -8 + -24x + (-10 * -1 + 2x * -1) = 8(2x + 1) + -3(9x + 12) -8 + -24x + (10 + -2x) = 8(2x + 1) + -3(9x + 12) Reorder the terms: -8 + 10 + -24x + -2x = 8(2x + 1) + -3(9x + 12) Combine like terms: -8 + 10 = 2 2 + -24x + -2x = 8(2x + 1) + -3(9x + 12) Combine like terms: -24x + -2x = -26x 2 + -26x = 8(2x + 1) + -3(9x + 12) Reorder the terms: 2 + -26x = 8(1 + 2x) + -3(9x + 12) 2 + -26x = (1 * 8 + 2x * 8) + -3(9x + 12) 2 + -26x = (8 + 16x) + -3(9x + 12) Reorder the terms: 2 + -26x = 8 + 16x + -3(12 + 9x) 2 + -26x = 8 + 16x + (12 * -3 + 9x * -3) 2 + -26x = 8 + 16x + (-36 + -27x) Reorder the terms: 2 + -26x = 8 + -36 + 16x + -27x Combine like terms: 8 + -36 = -28 2 + -26x = -28 + 16x + -27x Combine like terms: 16x + -27x = -11x 2 + -26x = -28 + -11x Solving 2 + -26x = -28 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 2 + -26x + 11x = -28 + -11x + 11x Combine like terms: -26x + 11x = -15x 2 + -15x = -28 + -11x + 11x Combine like terms: -11x + 11x = 0 2 + -15x = -28 + 0 2 + -15x = -28 Add '-2' to each side of the equation. 2 + -2 + -15x = -28 + -2 Combine like terms: 2 + -2 = 0 0 + -15x = -28 + -2 -15x = -28 + -2 Combine like terms: -28 + -2 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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