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Simplifying -3x + -5(2x + 3) = 3(x + 1) Reorder the terms: -3x + -5(3 + 2x) = 3(x + 1) -3x + (3 * -5 + 2x * -5) = 3(x + 1) -3x + (-15 + -10x) = 3(x + 1) Reorder the terms: -15 + -3x + -10x = 3(x + 1) Combine like terms: -3x + -10x = -13x -15 + -13x = 3(x + 1) Reorder the terms: -15 + -13x = 3(1 + x) -15 + -13x = (1 * 3 + x * 3) -15 + -13x = (3 + 3x) Solving -15 + -13x = 3 + 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. -15 + -13x + -3x = 3 + 3x + -3x Combine like terms: -13x + -3x = -16x -15 + -16x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + -16x = 3 + 0 -15 + -16x = 3 Add '15' to each side of the equation. -15 + 15 + -16x = 3 + 15 Combine like terms: -15 + 15 = 0 0 + -16x = 3 + 15 -16x = 3 + 15 Combine like terms: 3 + 15 = 18 -16x = 18 Divide each side by '-16'. x = -1.125 Simplifying x = -1.125
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