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Simplifying 5(2x + 7) = 4x + -8x + 7 Reorder the terms: 5(7 + 2x) = 4x + -8x + 7 (7 * 5 + 2x * 5) = 4x + -8x + 7 (35 + 10x) = 4x + -8x + 7 Reorder the terms: 35 + 10x = 7 + 4x + -8x Combine like terms: 4x + -8x = -4x 35 + 10x = 7 + -4x Solving 35 + 10x = 7 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 35 + 10x + 4x = 7 + -4x + 4x Combine like terms: 10x + 4x = 14x 35 + 14x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 35 + 14x = 7 + 0 35 + 14x = 7 Add '-35' to each side of the equation. 35 + -35 + 14x = 7 + -35 Combine like terms: 35 + -35 = 0 0 + 14x = 7 + -35 14x = 7 + -35 Combine like terms: 7 + -35 = -28 14x = -28 Divide each side by '14'. x = -2 Simplifying x = -2
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