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Simplifying 5(x + 3) = 10 + -2(x + 2) Reorder the terms: 5(3 + x) = 10 + -2(x + 2) (3 * 5 + x * 5) = 10 + -2(x + 2) (15 + 5x) = 10 + -2(x + 2) Reorder the terms: 15 + 5x = 10 + -2(2 + x) 15 + 5x = 10 + (2 * -2 + x * -2) 15 + 5x = 10 + (-4 + -2x) Combine like terms: 10 + -4 = 6 15 + 5x = 6 + -2x Solving 15 + 5x = 6 + -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. 15 + 5x + 2x = 6 + -2x + 2x Combine like terms: 5x + 2x = 7x 15 + 7x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 15 + 7x = 6 + 0 15 + 7x = 6 Add '-15' to each side of the equation. 15 + -15 + 7x = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = 6 + -15 7x = 6 + -15 Combine like terms: 6 + -15 = -9 7x = -9 Divide each side by '7'. x = -1.285714286 Simplifying x = -1.285714286
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