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Simplifying 53 + -1(2x + 14) = 2(x + 7) + x Reorder the terms: 53 + -1(14 + 2x) = 2(x + 7) + x 53 + (14 * -1 + 2x * -1) = 2(x + 7) + x 53 + (-14 + -2x) = 2(x + 7) + x Combine like terms: 53 + -14 = 39 39 + -2x = 2(x + 7) + x Reorder the terms: 39 + -2x = 2(7 + x) + x 39 + -2x = (7 * 2 + x * 2) + x 39 + -2x = (14 + 2x) + x Combine like terms: 2x + x = 3x 39 + -2x = 14 + 3x Solving 39 + -2x = 14 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 39 + -2x + -3x = 14 + 3x + -3x Combine like terms: -2x + -3x = -5x 39 + -5x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 39 + -5x = 14 + 0 39 + -5x = 14 Add '-39' to each side of the equation. 39 + -39 + -5x = 14 + -39 Combine like terms: 39 + -39 = 0 0 + -5x = 14 + -39 -5x = 14 + -39 Combine like terms: 14 + -39 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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