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Simplifying 3(5 + -3x) + -2(5 + 2x) = 3(x + 1) + -6x + -23 (5 * 3 + -3x * 3) + -2(5 + 2x) = 3(x + 1) + -6x + -23 (15 + -9x) + -2(5 + 2x) = 3(x + 1) + -6x + -23 15 + -9x + (5 * -2 + 2x * -2) = 3(x + 1) + -6x + -23 15 + -9x + (-10 + -4x) = 3(x + 1) + -6x + -23 Reorder the terms: 15 + -10 + -9x + -4x = 3(x + 1) + -6x + -23 Combine like terms: 15 + -10 = 5 5 + -9x + -4x = 3(x + 1) + -6x + -23 Combine like terms: -9x + -4x = -13x 5 + -13x = 3(x + 1) + -6x + -23 Reorder the terms: 5 + -13x = 3(1 + x) + -6x + -23 5 + -13x = (1 * 3 + x * 3) + -6x + -23 5 + -13x = (3 + 3x) + -6x + -23 Reorder the terms: 5 + -13x = 3 + -23 + 3x + -6x Combine like terms: 3 + -23 = -20 5 + -13x = -20 + 3x + -6x Combine like terms: 3x + -6x = -3x 5 + -13x = -20 + -3x Solving 5 + -13x = -20 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 5 + -13x + 3x = -20 + -3x + 3x Combine like terms: -13x + 3x = -10x 5 + -10x = -20 + -3x + 3x Combine like terms: -3x + 3x = 0 5 + -10x = -20 + 0 5 + -10x = -20 Add '-5' to each side of the equation. 5 + -5 + -10x = -20 + -5 Combine like terms: 5 + -5 = 0 0 + -10x = -20 + -5 -10x = -20 + -5 Combine like terms: -20 + -5 = -25 -10x = -25 Divide each side by '-10'. x = 2.5 Simplifying x = 2.5
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