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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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