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Simplifying 2(x + 5) + -1(5x + -1) = 2(4x + 2) + -15 Reorder the terms: 2(5 + x) + -1(5x + -1) = 2(4x + 2) + -15 (5 * 2 + x * 2) + -1(5x + -1) = 2(4x + 2) + -15 (10 + 2x) + -1(5x + -1) = 2(4x + 2) + -15 Reorder the terms: 10 + 2x + -1(-1 + 5x) = 2(4x + 2) + -15 10 + 2x + (-1 * -1 + 5x * -1) = 2(4x + 2) + -15 10 + 2x + (1 + -5x) = 2(4x + 2) + -15 Reorder the terms: 10 + 1 + 2x + -5x = 2(4x + 2) + -15 Combine like terms: 10 + 1 = 11 11 + 2x + -5x = 2(4x + 2) + -15 Combine like terms: 2x + -5x = -3x 11 + -3x = 2(4x + 2) + -15 Reorder the terms: 11 + -3x = 2(2 + 4x) + -15 11 + -3x = (2 * 2 + 4x * 2) + -15 11 + -3x = (4 + 8x) + -15 Reorder the terms: 11 + -3x = 4 + -15 + 8x Combine like terms: 4 + -15 = -11 11 + -3x = -11 + 8x Solving 11 + -3x = -11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 11 + -3x + -8x = -11 + 8x + -8x Combine like terms: -3x + -8x = -11x 11 + -11x = -11 + 8x + -8x Combine like terms: 8x + -8x = 0 11 + -11x = -11 + 0 11 + -11x = -11 Add '-11' to each side of the equation. 11 + -11 + -11x = -11 + -11 Combine like terms: 11 + -11 = 0 0 + -11x = -11 + -11 -11x = -11 + -11 Combine like terms: -11 + -11 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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