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Simplifying 53 = 2(x + 5) + 2(2 + -9) Reorder the terms: 53 = 2(5 + x) + 2(2 + -9) 53 = (5 * 2 + x * 2) + 2(2 + -9) 53 = (10 + 2x) + 2(2 + -9) Combine like terms: 2 + -9 = -7 53 = 10 + 2x + 2(-7) Multiply 2 * -7 53 = 10 + 2x + -14 Reorder the terms: 53 = 10 + -14 + 2x Combine like terms: 10 + -14 = -4 53 = -4 + 2x Solving 53 = -4 + 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. 53 + -2x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 53 + -2x = -4 + 0 53 + -2x = -4 Add '-53' to each side of the equation. 53 + -53 + -2x = -4 + -53 Combine like terms: 53 + -53 = 0 0 + -2x = -4 + -53 -2x = -4 + -53 Combine like terms: -4 + -53 = -57 -2x = -57 Divide each side by '-2'. x = 28.5 Simplifying x = 28.5
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