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Simplifying 3x + 5(2x + 1) = 8 + -3(4 + -5x) Reorder the terms: 3x + 5(1 + 2x) = 8 + -3(4 + -5x) 3x + (1 * 5 + 2x * 5) = 8 + -3(4 + -5x) 3x + (5 + 10x) = 8 + -3(4 + -5x) Reorder the terms: 5 + 3x + 10x = 8 + -3(4 + -5x) Combine like terms: 3x + 10x = 13x 5 + 13x = 8 + -3(4 + -5x) 5 + 13x = 8 + (4 * -3 + -5x * -3) 5 + 13x = 8 + (-12 + 15x) Combine like terms: 8 + -12 = -4 5 + 13x = -4 + 15x Solving 5 + 13x = -4 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 5 + 13x + -15x = -4 + 15x + -15x Combine like terms: 13x + -15x = -2x 5 + -2x = -4 + 15x + -15x Combine like terms: 15x + -15x = 0 5 + -2x = -4 + 0 5 + -2x = -4 Add '-5' to each side of the equation. 5 + -5 + -2x = -4 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = -4 + -5 -2x = -4 + -5 Combine like terms: -4 + -5 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5
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