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Simplifying 5(x + 3) + -5 = -9(x + -2) + 11x + -5 Reorder the terms: 5(3 + x) + -5 = -9(x + -2) + 11x + -5 (3 * 5 + x * 5) + -5 = -9(x + -2) + 11x + -5 (15 + 5x) + -5 = -9(x + -2) + 11x + -5 Reorder the terms: 15 + -5 + 5x = -9(x + -2) + 11x + -5 Combine like terms: 15 + -5 = 10 10 + 5x = -9(x + -2) + 11x + -5 Reorder the terms: 10 + 5x = -9(-2 + x) + 11x + -5 10 + 5x = (-2 * -9 + x * -9) + 11x + -5 10 + 5x = (18 + -9x) + 11x + -5 Reorder the terms: 10 + 5x = 18 + -5 + -9x + 11x Combine like terms: 18 + -5 = 13 10 + 5x = 13 + -9x + 11x Combine like terms: -9x + 11x = 2x 10 + 5x = 13 + 2x Solving 10 + 5x = 13 + 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. 10 + 5x + -2x = 13 + 2x + -2x Combine like terms: 5x + -2x = 3x 10 + 3x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 3x = 13 + 0 10 + 3x = 13 Add '-10' to each side of the equation. 10 + -10 + 3x = 13 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 13 + -10 3x = 13 + -10 Combine like terms: 13 + -10 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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