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Simplifying 5(2x + 3) = 10 + 2x + -3 Reorder the terms: 5(3 + 2x) = 10 + 2x + -3 (3 * 5 + 2x * 5) = 10 + 2x + -3 (15 + 10x) = 10 + 2x + -3 Reorder the terms: 15 + 10x = 10 + -3 + 2x Combine like terms: 10 + -3 = 7 15 + 10x = 7 + 2x Solving 15 + 10x = 7 + 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 + 10x + -2x = 7 + 2x + -2x Combine like terms: 10x + -2x = 8x 15 + 8x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 8x = 7 + 0 15 + 8x = 7 Add '-15' to each side of the equation. 15 + -15 + 8x = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = 7 + -15 8x = 7 + -15 Combine like terms: 7 + -15 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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