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Simplifying 53 = 7x + -2(x + -9) Reorder the terms: 53 = 7x + -2(-9 + x) 53 = 7x + (-9 * -2 + x * -2) 53 = 7x + (18 + -2x) Reorder the terms: 53 = 18 + 7x + -2x Combine like terms: 7x + -2x = 5x 53 = 18 + 5x Solving 53 = 18 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 53 + -5x = 18 + 5x + -5x Combine like terms: 5x + -5x = 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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