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Simplifying 3(2x + -2) + (x + 10) = 53 Reorder the terms: 3(-2 + 2x) + (x + 10) = 53 (-2 * 3 + 2x * 3) + (x + 10) = 53 (-6 + 6x) + (x + 10) = 53 Reorder the terms: -6 + 6x + (10 + x) = 53 Remove parenthesis around (10 + x) -6 + 6x + 10 + x = 53 Reorder the terms: -6 + 10 + 6x + x = 53 Combine like terms: -6 + 10 = 4 4 + 6x + x = 53 Combine like terms: 6x + x = 7x 4 + 7x = 53 Solving 4 + 7x = 53 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7x = 53 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 53 + -4 7x = 53 + -4 Combine like terms: 53 + -4 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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