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Simplifying -5(x + 1) = 10x + -35 Reorder the terms: -5(1 + x) = 10x + -35 (1 * -5 + x * -5) = 10x + -35 (-5 + -5x) = 10x + -35 Reorder the terms: -5 + -5x = -35 + 10x Solving -5 + -5x = -35 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -5 + -5x + -10x = -35 + 10x + -10x Combine like terms: -5x + -10x = -15x -5 + -15x = -35 + 10x + -10x Combine like terms: 10x + -10x = 0 -5 + -15x = -35 + 0 -5 + -15x = -35 Add '5' to each side of the equation. -5 + 5 + -15x = -35 + 5 Combine like terms: -5 + 5 = 0 0 + -15x = -35 + 5 -15x = -35 + 5 Combine like terms: -35 + 5 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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