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Simplifying 5(x + 3) + -1(x + 1) = x + 2 Reorder the terms: 5(3 + x) + -1(x + 1) = x + 2 (3 * 5 + x * 5) + -1(x + 1) = x + 2 (15 + 5x) + -1(x + 1) = x + 2 Reorder the terms: 15 + 5x + -1(1 + x) = x + 2 15 + 5x + (1 * -1 + x * -1) = x + 2 15 + 5x + (-1 + -1x) = x + 2 Reorder the terms: 15 + -1 + 5x + -1x = x + 2 Combine like terms: 15 + -1 = 14 14 + 5x + -1x = x + 2 Combine like terms: 5x + -1x = 4x 14 + 4x = x + 2 Reorder the terms: 14 + 4x = 2 + x Solving 14 + 4x = 2 + 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. 14 + 4x + -1x = 2 + x + -1x Combine like terms: 4x + -1x = 3x 14 + 3x = 2 + x + -1x Combine like terms: x + -1x = 0 14 + 3x = 2 + 0 14 + 3x = 2 Add '-14' to each side of the equation. 14 + -14 + 3x = 2 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 2 + -14 3x = 2 + -14 Combine like terms: 2 + -14 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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