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Simplifying 5(2x + 1) = -2x + -7 Reorder the terms: 5(1 + 2x) = -2x + -7 (1 * 5 + 2x * 5) = -2x + -7 (5 + 10x) = -2x + -7 Reorder the terms: 5 + 10x = -7 + -2x Solving 5 + 10x = -7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5 + 10x + 2x = -7 + -2x + 2x Combine like terms: 10x + 2x = 12x 5 + 12x = -7 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 12x = -7 + 0 5 + 12x = -7 Add '-5' to each side of the equation. 5 + -5 + 12x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = -7 + -5 12x = -7 + -5 Combine like terms: -7 + -5 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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