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Simplifying 3(x + 7) + -3 = 53 + -2x Reorder the terms: 3(7 + x) + -3 = 53 + -2x (7 * 3 + x * 3) + -3 = 53 + -2x (21 + 3x) + -3 = 53 + -2x Reorder the terms: 21 + -3 + 3x = 53 + -2x Combine like terms: 21 + -3 = 18 18 + 3x = 53 + -2x Solving 18 + 3x = 53 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 18 + 3x + 2x = 53 + -2x + 2x Combine like terms: 3x + 2x = 5x 18 + 5x = 53 + -2x + 2x Combine like terms: -2x + 2x = 0 18 + 5x = 53 + 0 18 + 5x = 53 Add '-18' to each side of the equation. 18 + -18 + 5x = 53 + -18 Combine like terms: 18 + -18 = 0 0 + 5x = 53 + -18 5x = 53 + -18 Combine like terms: 53 + -18 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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