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