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Simplifying 5(x + 2) = (x + -7) + 53 Reorder the terms: 5(2 + x) = (x + -7) + 53 (2 * 5 + x * 5) = (x + -7) + 53 (10 + 5x) = (x + -7) + 53 Reorder the terms: 10 + 5x = (-7 + x) + 53 Remove parenthesis around (-7 + x) 10 + 5x = -7 + x + 53 Reorder the terms: 10 + 5x = -7 + 53 + x Combine like terms: -7 + 53 = 46 10 + 5x = 46 + x Solving 10 + 5x = 46 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10 + 5x + -1x = 46 + x + -1x Combine like terms: 5x + -1x = 4x 10 + 4x = 46 + x + -1x Combine like terms: x + -1x = 0 10 + 4x = 46 + 0 10 + 4x = 46 Add '-10' to each side of the equation. 10 + -10 + 4x = 46 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 46 + -10 4x = 46 + -10 Combine like terms: 46 + -10 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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