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Simplifying -5(x + 9) = 2x + 18 Reorder the terms: -5(9 + x) = 2x + 18 (9 * -5 + x * -5) = 2x + 18 (-45 + -5x) = 2x + 18 Reorder the terms: -45 + -5x = 18 + 2x Solving -45 + -5x = 18 + 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. -45 + -5x + -2x = 18 + 2x + -2x Combine like terms: -5x + -2x = -7x -45 + -7x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 -45 + -7x = 18 + 0 -45 + -7x = 18 Add '45' to each side of the equation. -45 + 45 + -7x = 18 + 45 Combine like terms: -45 + 45 = 0 0 + -7x = 18 + 45 -7x = 18 + 45 Combine like terms: 18 + 45 = 63 -7x = 63 Divide each side by '-7'. x = -9 Simplifying x = -9
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