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Simplifying -3(x + 3) + -10 = 5(1 + x) Reorder the terms: -3(3 + x) + -10 = 5(1 + x) (3 * -3 + x * -3) + -10 = 5(1 + x) (-9 + -3x) + -10 = 5(1 + x) Reorder the terms: -9 + -10 + -3x = 5(1 + x) Combine like terms: -9 + -10 = -19 -19 + -3x = 5(1 + x) -19 + -3x = (1 * 5 + x * 5) -19 + -3x = (5 + 5x) Solving -19 + -3x = 5 + 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. -19 + -3x + -5x = 5 + 5x + -5x Combine like terms: -3x + -5x = -8x -19 + -8x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -19 + -8x = 5 + 0 -19 + -8x = 5 Add '19' to each side of the equation. -19 + 19 + -8x = 5 + 19 Combine like terms: -19 + 19 = 0 0 + -8x = 5 + 19 -8x = 5 + 19 Combine like terms: 5 + 19 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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