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Simplifying 4(x + -5) = 3(x + 4) Reorder the terms: 4(-5 + x) = 3(x + 4) (-5 * 4 + x * 4) = 3(x + 4) (-20 + 4x) = 3(x + 4) Reorder the terms: -20 + 4x = 3(4 + x) -20 + 4x = (4 * 3 + x * 3) -20 + 4x = (12 + 3x) Solving -20 + 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. -20 + 4x + -3x = 12 + 3x + -3x Combine like terms: 4x + -3x = 1x -20 + 1x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + 1x = 12 + 0 -20 + 1x = 12 Add '20' to each side of the equation. -20 + 20 + 1x = 12 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = 12 + 20 1x = 12 + 20 Combine like terms: 12 + 20 = 32 1x = 32 Divide each side by '1'. x = 32 Simplifying x = 32
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