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Simplifying 3(2x + 1) = 5 + -8(2x + -3) Reorder the terms: 3(1 + 2x) = 5 + -8(2x + -3) (1 * 3 + 2x * 3) = 5 + -8(2x + -3) (3 + 6x) = 5 + -8(2x + -3) Reorder the terms: 3 + 6x = 5 + -8(-3 + 2x) 3 + 6x = 5 + (-3 * -8 + 2x * -8) 3 + 6x = 5 + (24 + -16x) Combine like terms: 5 + 24 = 29 3 + 6x = 29 + -16x Solving 3 + 6x = 29 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 3 + 6x + 16x = 29 + -16x + 16x Combine like terms: 6x + 16x = 22x 3 + 22x = 29 + -16x + 16x Combine like terms: -16x + 16x = 0 3 + 22x = 29 + 0 3 + 22x = 29 Add '-3' to each side of the equation. 3 + -3 + 22x = 29 + -3 Combine like terms: 3 + -3 = 0 0 + 22x = 29 + -3 22x = 29 + -3 Combine like terms: 29 + -3 = 26 22x = 26 Divide each side by '22'. x = 1.181818182 Simplifying x = 1.181818182
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