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Simplifying -1(4x + -35) = 3x + 2(x + -5) Reorder the terms: -1(-35 + 4x) = 3x + 2(x + -5) (-35 * -1 + 4x * -1) = 3x + 2(x + -5) (35 + -4x) = 3x + 2(x + -5) Reorder the terms: 35 + -4x = 3x + 2(-5 + x) 35 + -4x = 3x + (-5 * 2 + x * 2) 35 + -4x = 3x + (-10 + 2x) Reorder the terms: 35 + -4x = -10 + 3x + 2x Combine like terms: 3x + 2x = 5x 35 + -4x = -10 + 5x Solving 35 + -4x = -10 + 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. 35 + -4x + -5x = -10 + 5x + -5x Combine like terms: -4x + -5x = -9x 35 + -9x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 35 + -9x = -10 + 0 35 + -9x = -10 Add '-35' to each side of the equation. 35 + -35 + -9x = -10 + -35 Combine like terms: 35 + -35 = 0 0 + -9x = -10 + -35 -9x = -10 + -35 Combine like terms: -10 + -35 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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