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Simplifying 5(3 + -1x) + 2(x + 1) = x + 5 (3 * 5 + -1x * 5) + 2(x + 1) = x + 5 (15 + -5x) + 2(x + 1) = x + 5 Reorder the terms: 15 + -5x + 2(1 + x) = x + 5 15 + -5x + (1 * 2 + x * 2) = x + 5 15 + -5x + (2 + 2x) = x + 5 Reorder the terms: 15 + 2 + -5x + 2x = x + 5 Combine like terms: 15 + 2 = 17 17 + -5x + 2x = x + 5 Combine like terms: -5x + 2x = -3x 17 + -3x = x + 5 Reorder the terms: 17 + -3x = 5 + x Solving 17 + -3x = 5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 17 + -3x + -1x = 5 + x + -1x Combine like terms: -3x + -1x = -4x 17 + -4x = 5 + x + -1x Combine like terms: x + -1x = 0 17 + -4x = 5 + 0 17 + -4x = 5 Add '-17' to each side of the equation. 17 + -17 + -4x = 5 + -17 Combine like terms: 17 + -17 = 0 0 + -4x = 5 + -17 -4x = 5 + -17 Combine like terms: 5 + -17 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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