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Simplifying 5(x + 9) + -5 = 45 + -3x Reorder the terms: 5(9 + x) + -5 = 45 + -3x (9 * 5 + x * 5) + -5 = 45 + -3x (45 + 5x) + -5 = 45 + -3x Reorder the terms: 45 + -5 + 5x = 45 + -3x Combine like terms: 45 + -5 = 40 40 + 5x = 45 + -3x Solving 40 + 5x = 45 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 40 + 5x + 3x = 45 + -3x + 3x Combine like terms: 5x + 3x = 8x 40 + 8x = 45 + -3x + 3x Combine like terms: -3x + 3x = 0 40 + 8x = 45 + 0 40 + 8x = 45 Add '-40' to each side of the equation. 40 + -40 + 8x = 45 + -40 Combine like terms: 40 + -40 = 0 0 + 8x = 45 + -40 8x = 45 + -40 Combine like terms: 45 + -40 = 5 8x = 5 Divide each side by '8'. x = 0.625 Simplifying x = 0.625
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