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Simplifying 2(2x + -5) = 3(x + 4) Reorder the terms: 2(-5 + 2x) = 3(x + 4) (-5 * 2 + 2x * 2) = 3(x + 4) (-10 + 4x) = 3(x + 4) Reorder the terms: -10 + 4x = 3(4 + x) -10 + 4x = (4 * 3 + x * 3) -10 + 4x = (12 + 3x) Solving -10 + 4x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 4x + -3x = 12 + 3x + -3x Combine like terms: 4x + -3x = 1x -10 + 1x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 1x = 12 + 0 -10 + 1x = 12 Add '10' to each side of the equation. -10 + 10 + 1x = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 12 + 10 1x = 12 + 10 Combine like terms: 12 + 10 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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