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Simplifying 5(x + 4) + -3 + -1x = 45 Reorder the terms: 5(4 + x) + -3 + -1x = 45 (4 * 5 + x * 5) + -3 + -1x = 45 (20 + 5x) + -3 + -1x = 45 Reorder the terms: 20 + -3 + 5x + -1x = 45 Combine like terms: 20 + -3 = 17 17 + 5x + -1x = 45 Combine like terms: 5x + -1x = 4x 17 + 4x = 45 Solving 17 + 4x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 4x = 45 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = 45 + -17 4x = 45 + -17 Combine like terms: 45 + -17 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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