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Simplifying 5(3x + -3) + -2(2x + -13) = 2(5x + 1) + -1 Reorder the terms: 5(-3 + 3x) + -2(2x + -13) = 2(5x + 1) + -1 (-3 * 5 + 3x * 5) + -2(2x + -13) = 2(5x + 1) + -1 (-15 + 15x) + -2(2x + -13) = 2(5x + 1) + -1 Reorder the terms: -15 + 15x + -2(-13 + 2x) = 2(5x + 1) + -1 -15 + 15x + (-13 * -2 + 2x * -2) = 2(5x + 1) + -1 -15 + 15x + (26 + -4x) = 2(5x + 1) + -1 Reorder the terms: -15 + 26 + 15x + -4x = 2(5x + 1) + -1 Combine like terms: -15 + 26 = 11 11 + 15x + -4x = 2(5x + 1) + -1 Combine like terms: 15x + -4x = 11x 11 + 11x = 2(5x + 1) + -1 Reorder the terms: 11 + 11x = 2(1 + 5x) + -1 11 + 11x = (1 * 2 + 5x * 2) + -1 11 + 11x = (2 + 10x) + -1 Reorder the terms: 11 + 11x = 2 + -1 + 10x Combine like terms: 2 + -1 = 1 11 + 11x = 1 + 10x Solving 11 + 11x = 1 + 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. 11 + 11x + -10x = 1 + 10x + -10x Combine like terms: 11x + -10x = 1x 11 + 1x = 1 + 10x + -10x Combine like terms: 10x + -10x = 0 11 + 1x = 1 + 0 11 + 1x = 1 Add '-11' to each side of the equation. 11 + -11 + 1x = 1 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 1 + -11 1x = 1 + -11 Combine like terms: 1 + -11 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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