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Simplifying 5(x + 1) = 15 + -3x + 2 Reorder the terms: 5(1 + x) = 15 + -3x + 2 (1 * 5 + x * 5) = 15 + -3x + 2 (5 + 5x) = 15 + -3x + 2 Reorder the terms: 5 + 5x = 15 + 2 + -3x Combine like terms: 15 + 2 = 17 5 + 5x = 17 + -3x Solving 5 + 5x = 17 + -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. 5 + 5x + 3x = 17 + -3x + 3x Combine like terms: 5x + 3x = 8x 5 + 8x = 17 + -3x + 3x Combine like terms: -3x + 3x = 0 5 + 8x = 17 + 0 5 + 8x = 17 Add '-5' to each side of the equation. 5 + -5 + 8x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 17 + -5 8x = 17 + -5 Combine like terms: 17 + -5 = 12 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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