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Simplifying 5(x + 1) = -3x + -35 Reorder the terms: 5(1 + x) = -3x + -35 (1 * 5 + x * 5) = -3x + -35 (5 + 5x) = -3x + -35 Reorder the terms: 5 + 5x = -35 + -3x Solving 5 + 5x = -35 + -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. 5 + 5x + 3x = -35 + -3x + 3x Combine like terms: 5x + 3x = 8x 5 + 8x = -35 + -3x + 3x Combine like terms: -3x + 3x = 0 5 + 8x = -35 + 0 5 + 8x = -35 Add '-5' to each side of the equation. 5 + -5 + 8x = -35 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = -35 + -5 8x = -35 + -5 Combine like terms: -35 + -5 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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