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Simplifying 65 + -1(2x + 12) = 2(x + 9) + x Reorder the terms: 65 + -1(12 + 2x) = 2(x + 9) + x 65 + (12 * -1 + 2x * -1) = 2(x + 9) + x 65 + (-12 + -2x) = 2(x + 9) + x Combine like terms: 65 + -12 = 53 53 + -2x = 2(x + 9) + x Reorder the terms: 53 + -2x = 2(9 + x) + x 53 + -2x = (9 * 2 + x * 2) + x 53 + -2x = (18 + 2x) + x Combine like terms: 2x + x = 3x 53 + -2x = 18 + 3x Solving 53 + -2x = 18 + 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. 53 + -2x + -3x = 18 + 3x + -3x Combine like terms: -2x + -3x = -5x 53 + -5x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 53 + -5x = 18 + 0 53 + -5x = 18 Add '-53' to each side of the equation. 53 + -53 + -5x = 18 + -53 Combine like terms: 53 + -53 = 0 0 + -5x = 18 + -53 -5x = 18 + -53 Combine like terms: 18 + -53 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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