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Simplifying 5(x + 1) = 6 + -2(5x + -7) Reorder the terms: 5(1 + x) = 6 + -2(5x + -7) (1 * 5 + x * 5) = 6 + -2(5x + -7) (5 + 5x) = 6 + -2(5x + -7) Reorder the terms: 5 + 5x = 6 + -2(-7 + 5x) 5 + 5x = 6 + (-7 * -2 + 5x * -2) 5 + 5x = 6 + (14 + -10x) Combine like terms: 6 + 14 = 20 5 + 5x = 20 + -10x Solving 5 + 5x = 20 + -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 = 20 + -10x + 10x Combine like terms: 5x + 10x = 15x 5 + 15x = 20 + -10x + 10x Combine like terms: -10x + 10x = 0 5 + 15x = 20 + 0 5 + 15x = 20 Add '-5' to each side of the equation. 5 + -5 + 15x = 20 + -5 Combine like terms: 5 + -5 = 0 0 + 15x = 20 + -5 15x = 20 + -5 Combine like terms: 20 + -5 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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