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Simplifying 3(x + -1) = 5(x + 4) Reorder the terms: 3(-1 + x) = 5(x + 4) (-1 * 3 + x * 3) = 5(x + 4) (-3 + 3x) = 5(x + 4) Reorder the terms: -3 + 3x = 5(4 + x) -3 + 3x = (4 * 5 + x * 5) -3 + 3x = (20 + 5x) Solving -3 + 3x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -3 + 3x + -5x = 20 + 5x + -5x Combine like terms: 3x + -5x = -2x -3 + -2x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -2x = 20 + 0 -3 + -2x = 20 Add '3' to each side of the equation. -3 + 3 + -2x = 20 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 20 + 3 -2x = 20 + 3 Combine like terms: 20 + 3 = 23 -2x = 23 Divide each side by '-2'. x = -11.5 Simplifying x = -11.5
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