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Simplifying 4(x + 2) + 3(2x + -5) = 31 Reorder the terms: 4(2 + x) + 3(2x + -5) = 31 (2 * 4 + x * 4) + 3(2x + -5) = 31 (8 + 4x) + 3(2x + -5) = 31 Reorder the terms: 8 + 4x + 3(-5 + 2x) = 31 8 + 4x + (-5 * 3 + 2x * 3) = 31 8 + 4x + (-15 + 6x) = 31 Reorder the terms: 8 + -15 + 4x + 6x = 31 Combine like terms: 8 + -15 = -7 -7 + 4x + 6x = 31 Combine like terms: 4x + 6x = 10x -7 + 10x = 31 Solving -7 + 10x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 10x = 31 + 7 Combine like terms: -7 + 7 = 0 0 + 10x = 31 + 7 10x = 31 + 7 Combine like terms: 31 + 7 = 38 10x = 38 Divide each side by '10'. x = 3.8 Simplifying x = 3.8
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