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