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Simplifying 5(x + 3) = 2 + -1(x + -2) Reorder the terms: 5(3 + x) = 2 + -1(x + -2) (3 * 5 + x * 5) = 2 + -1(x + -2) (15 + 5x) = 2 + -1(x + -2) Reorder the terms: 15 + 5x = 2 + -1(-2 + x) 15 + 5x = 2 + (-2 * -1 + x * -1) 15 + 5x = 2 + (2 + -1x) Combine like terms: 2 + 2 = 4 15 + 5x = 4 + -1x Solving 15 + 5x = 4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 15 + 5x + x = 4 + -1x + x Combine like terms: 5x + x = 6x 15 + 6x = 4 + -1x + x Combine like terms: -1x + x = 0 15 + 6x = 4 + 0 15 + 6x = 4 Add '-15' to each side of the equation. 15 + -15 + 6x = 4 + -15 Combine like terms: 15 + -15 = 0 0 + 6x = 4 + -15 6x = 4 + -15 Combine like terms: 4 + -15 = -11 6x = -11 Divide each side by '6'. x = -1.833333333 Simplifying x = -1.833333333
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