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Simplifying -3x + -5(x + 3) = -1(1 + x) Reorder the terms: -3x + -5(3 + x) = -1(1 + x) -3x + (3 * -5 + x * -5) = -1(1 + x) -3x + (-15 + -5x) = -1(1 + x) Reorder the terms: -15 + -3x + -5x = -1(1 + x) Combine like terms: -3x + -5x = -8x -15 + -8x = -1(1 + x) -15 + -8x = (1 * -1 + x * -1) -15 + -8x = (-1 + -1x) Solving -15 + -8x = -1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -15 + -8x + x = -1 + -1x + x Combine like terms: -8x + x = -7x -15 + -7x = -1 + -1x + x Combine like terms: -1x + x = 0 -15 + -7x = -1 + 0 -15 + -7x = -1 Add '15' to each side of the equation. -15 + 15 + -7x = -1 + 15 Combine like terms: -15 + 15 = 0 0 + -7x = -1 + 15 -7x = -1 + 15 Combine like terms: -1 + 15 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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