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Simplifying 2(x + 4) + 3(2x + -5) = 5 Reorder the terms: 2(4 + x) + 3(2x + -5) = 5 (4 * 2 + x * 2) + 3(2x + -5) = 5 (8 + 2x) + 3(2x + -5) = 5 Reorder the terms: 8 + 2x + 3(-5 + 2x) = 5 8 + 2x + (-5 * 3 + 2x * 3) = 5 8 + 2x + (-15 + 6x) = 5 Reorder the terms: 8 + -15 + 2x + 6x = 5 Combine like terms: 8 + -15 = -7 -7 + 2x + 6x = 5 Combine like terms: 2x + 6x = 8x -7 + 8x = 5 Solving -7 + 8x = 5 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 + 8x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 5 + 7 8x = 5 + 7 Combine like terms: 5 + 7 = 12 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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