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Simplifying 3x + 5(8 + 2x) = 4x + 3(2x + 1) 3x + (8 * 5 + 2x * 5) = 4x + 3(2x + 1) 3x + (40 + 10x) = 4x + 3(2x + 1) Reorder the terms: 40 + 3x + 10x = 4x + 3(2x + 1) Combine like terms: 3x + 10x = 13x 40 + 13x = 4x + 3(2x + 1) Reorder the terms: 40 + 13x = 4x + 3(1 + 2x) 40 + 13x = 4x + (1 * 3 + 2x * 3) 40 + 13x = 4x + (3 + 6x) Reorder the terms: 40 + 13x = 3 + 4x + 6x Combine like terms: 4x + 6x = 10x 40 + 13x = 3 + 10x Solving 40 + 13x = 3 + 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. 40 + 13x + -10x = 3 + 10x + -10x Combine like terms: 13x + -10x = 3x 40 + 3x = 3 + 10x + -10x Combine like terms: 10x + -10x = 0 40 + 3x = 3 + 0 40 + 3x = 3 Add '-40' to each side of the equation. 40 + -40 + 3x = 3 + -40 Combine like terms: 40 + -40 = 0 0 + 3x = 3 + -40 3x = 3 + -40 Combine like terms: 3 + -40 = -37 3x = -37 Divide each side by '3'. x = -12.33333333 Simplifying x = -12.33333333
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