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Simplifying 5(2x + 6) + -35 = 8x + -7 Reorder the terms: 5(6 + 2x) + -35 = 8x + -7 (6 * 5 + 2x * 5) + -35 = 8x + -7 (30 + 10x) + -35 = 8x + -7 Reorder the terms: 30 + -35 + 10x = 8x + -7 Combine like terms: 30 + -35 = -5 -5 + 10x = 8x + -7 Reorder the terms: -5 + 10x = -7 + 8x Solving -5 + 10x = -7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 10x + -8x = -7 + 8x + -8x Combine like terms: 10x + -8x = 2x -5 + 2x = -7 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + 2x = -7 + 0 -5 + 2x = -7 Add '5' to each side of the equation. -5 + 5 + 2x = -7 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = -7 + 5 2x = -7 + 5 Combine like terms: -7 + 5 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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