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Simplifying 5(3 + -1x) + 8 = 8 + 2x + 1 (3 * 5 + -1x * 5) + 8 = 8 + 2x + 1 (15 + -5x) + 8 = 8 + 2x + 1 Reorder the terms: 15 + 8 + -5x = 8 + 2x + 1 Combine like terms: 15 + 8 = 23 23 + -5x = 8 + 2x + 1 Reorder the terms: 23 + -5x = 8 + 1 + 2x Combine like terms: 8 + 1 = 9 23 + -5x = 9 + 2x Solving 23 + -5x = 9 + 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. 23 + -5x + -2x = 9 + 2x + -2x Combine like terms: -5x + -2x = -7x 23 + -7x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 23 + -7x = 9 + 0 23 + -7x = 9 Add '-23' to each side of the equation. 23 + -23 + -7x = 9 + -23 Combine like terms: 23 + -23 = 0 0 + -7x = 9 + -23 -7x = 9 + -23 Combine like terms: 9 + -23 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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