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Simplifying 5x + 5 = -1(x + -35) Reorder the terms: 5 + 5x = -1(x + -35) Reorder the terms: 5 + 5x = -1(-35 + x) 5 + 5x = (-35 * -1 + x * -1) 5 + 5x = (35 + -1x) Solving 5 + 5x = 35 + -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. 5 + 5x + x = 35 + -1x + x Combine like terms: 5x + x = 6x 5 + 6x = 35 + -1x + x Combine like terms: -1x + x = 0 5 + 6x = 35 + 0 5 + 6x = 35 Add '-5' to each side of the equation. 5 + -5 + 6x = 35 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 35 + -5 6x = 35 + -5 Combine like terms: 35 + -5 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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