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Simplifying 31 + 2(3x + -4) = 5(2x + 3) Reorder the terms: 31 + 2(-4 + 3x) = 5(2x + 3) 31 + (-4 * 2 + 3x * 2) = 5(2x + 3) 31 + (-8 + 6x) = 5(2x + 3) Combine like terms: 31 + -8 = 23 23 + 6x = 5(2x + 3) Reorder the terms: 23 + 6x = 5(3 + 2x) 23 + 6x = (3 * 5 + 2x * 5) 23 + 6x = (15 + 10x) Solving 23 + 6x = 15 + 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. 23 + 6x + -10x = 15 + 10x + -10x Combine like terms: 6x + -10x = -4x 23 + -4x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 23 + -4x = 15 + 0 23 + -4x = 15 Add '-23' to each side of the equation. 23 + -23 + -4x = 15 + -23 Combine like terms: 23 + -23 = 0 0 + -4x = 15 + -23 -4x = 15 + -23 Combine like terms: 15 + -23 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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