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Simplifying 3x + -1(3x + 5) = 5 + 2(x + -1) Reorder the terms: 3x + -1(5 + 3x) = 5 + 2(x + -1) 3x + (5 * -1 + 3x * -1) = 5 + 2(x + -1) 3x + (-5 + -3x) = 5 + 2(x + -1) Reorder the terms: -5 + 3x + -3x = 5 + 2(x + -1) Combine like terms: 3x + -3x = 0 -5 + 0 = 5 + 2(x + -1) -5 = 5 + 2(x + -1) Reorder the terms: -5 = 5 + 2(-1 + x) -5 = 5 + (-1 * 2 + x * 2) -5 = 5 + (-2 + 2x) Combine like terms: 5 + -2 = 3 -5 = 3 + 2x Solving -5 = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + -2x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -2x = 3 + 0 -5 + -2x = 3 Add '5' to each side of the equation. -5 + 5 + -2x = 3 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 3 + 5 -2x = 3 + 5 Combine like terms: 3 + 5 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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