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Simplifying 3(x + -5) = 5(x + 1) + 4 Reorder the terms: 3(-5 + x) = 5(x + 1) + 4 (-5 * 3 + x * 3) = 5(x + 1) + 4 (-15 + 3x) = 5(x + 1) + 4 Reorder the terms: -15 + 3x = 5(1 + x) + 4 -15 + 3x = (1 * 5 + x * 5) + 4 -15 + 3x = (5 + 5x) + 4 Reorder the terms: -15 + 3x = 5 + 4 + 5x Combine like terms: 5 + 4 = 9 -15 + 3x = 9 + 5x Solving -15 + 3x = 9 + 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. -15 + 3x + -5x = 9 + 5x + -5x Combine like terms: 3x + -5x = -2x -15 + -2x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + -2x = 9 + 0 -15 + -2x = 9 Add '15' to each side of the equation. -15 + 15 + -2x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = 9 + 15 -2x = 9 + 15 Combine like terms: 9 + 15 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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