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Simplifying 5(2x + -2) + 53 = 7x + -8 Reorder the terms: 5(-2 + 2x) + 53 = 7x + -8 (-2 * 5 + 2x * 5) + 53 = 7x + -8 (-10 + 10x) + 53 = 7x + -8 Reorder the terms: -10 + 53 + 10x = 7x + -8 Combine like terms: -10 + 53 = 43 43 + 10x = 7x + -8 Reorder the terms: 43 + 10x = -8 + 7x Solving 43 + 10x = -8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 43 + 10x + -7x = -8 + 7x + -7x Combine like terms: 10x + -7x = 3x 43 + 3x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 43 + 3x = -8 + 0 43 + 3x = -8 Add '-43' to each side of the equation. 43 + -43 + 3x = -8 + -43 Combine like terms: 43 + -43 = 0 0 + 3x = -8 + -43 3x = -8 + -43 Combine like terms: -8 + -43 = -51 3x = -51 Divide each side by '3'. x = -17 Simplifying x = -17
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