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Simplifying 45 = 5x + 2(2x + -9) Reorder the terms: 45 = 5x + 2(-9 + 2x) 45 = 5x + (-9 * 2 + 2x * 2) 45 = 5x + (-18 + 4x) Reorder the terms: 45 = -18 + 5x + 4x Combine like terms: 5x + 4x = 9x 45 = -18 + 9x Solving 45 = -18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 45 + -9x = -18 + 9x + -9x Combine like terms: 9x + -9x = 0 45 + -9x = -18 + 0 45 + -9x = -18 Add '-45' to each side of the equation. 45 + -45 + -9x = -18 + -45 Combine like terms: 45 + -45 = 0 0 + -9x = -18 + -45 -9x = -18 + -45 Combine like terms: -18 + -45 = -63 -9x = -63 Divide each side by '-9'. x = 7 Simplifying x = 7
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