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Simplifying 5(x + 6) = -2(-5x + -7) + 1 Reorder the terms: 5(6 + x) = -2(-5x + -7) + 1 (6 * 5 + x * 5) = -2(-5x + -7) + 1 (30 + 5x) = -2(-5x + -7) + 1 Reorder the terms: 30 + 5x = -2(-7 + -5x) + 1 30 + 5x = (-7 * -2 + -5x * -2) + 1 30 + 5x = (14 + 10x) + 1 Reorder the terms: 30 + 5x = 14 + 1 + 10x Combine like terms: 14 + 1 = 15 30 + 5x = 15 + 10x Solving 30 + 5x = 15 + 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. 30 + 5x + -10x = 15 + 10x + -10x Combine like terms: 5x + -10x = -5x 30 + -5x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 30 + -5x = 15 + 0 30 + -5x = 15 Add '-30' to each side of the equation. 30 + -30 + -5x = 15 + -30 Combine like terms: 30 + -30 = 0 0 + -5x = 15 + -30 -5x = 15 + -30 Combine like terms: 15 + -30 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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