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Simplifying 5(3x + 2) = -3x + -8 Reorder the terms: 5(2 + 3x) = -3x + -8 (2 * 5 + 3x * 5) = -3x + -8 (10 + 15x) = -3x + -8 Reorder the terms: 10 + 15x = -8 + -3x Solving 10 + 15x = -8 + -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. 10 + 15x + 3x = -8 + -3x + 3x Combine like terms: 15x + 3x = 18x 10 + 18x = -8 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 18x = -8 + 0 10 + 18x = -8 Add '-10' to each side of the equation. 10 + -10 + 18x = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 18x = -8 + -10 18x = -8 + -10 Combine like terms: -8 + -10 = -18 18x = -18 Divide each side by '18'. x = -1 Simplifying x = -1
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