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Simplifying -3x + 45 = 2x + 5(x + -9) Reorder the terms: 45 + -3x = 2x + 5(x + -9) Reorder the terms: 45 + -3x = 2x + 5(-9 + x) 45 + -3x = 2x + (-9 * 5 + x * 5) 45 + -3x = 2x + (-45 + 5x) Reorder the terms: 45 + -3x = -45 + 2x + 5x Combine like terms: 2x + 5x = 7x 45 + -3x = -45 + 7x Solving 45 + -3x = -45 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 45 + -3x + -7x = -45 + 7x + -7x Combine like terms: -3x + -7x = -10x 45 + -10x = -45 + 7x + -7x Combine like terms: 7x + -7x = 0 45 + -10x = -45 + 0 45 + -10x = -45 Add '-45' to each side of the equation. 45 + -45 + -10x = -45 + -45 Combine like terms: 45 + -45 = 0 0 + -10x = -45 + -45 -10x = -45 + -45 Combine like terms: -45 + -45 = -90 -10x = -90 Divide each side by '-10'. x = 9 Simplifying x = 9
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