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Simplifying 5(2x + 3) = 8x + -6 Reorder the terms: 5(3 + 2x) = 8x + -6 (3 * 5 + 2x * 5) = 8x + -6 (15 + 10x) = 8x + -6 Reorder the terms: 15 + 10x = -6 + 8x Solving 15 + 10x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + 10x + -8x = -6 + 8x + -8x Combine like terms: 10x + -8x = 2x 15 + 2x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + 2x = -6 + 0 15 + 2x = -6 Add '-15' to each side of the equation. 15 + -15 + 2x = -6 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = -6 + -15 2x = -6 + -15 Combine like terms: -6 + -15 = -21 2x = -21 Divide each side by '2'. x = -10.5 Simplifying x = -10.5
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