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Simplifying 3(x + 5) + 7x = -2x + -3 Reorder the terms: 3(5 + x) + 7x = -2x + -3 (5 * 3 + x * 3) + 7x = -2x + -3 (15 + 3x) + 7x = -2x + -3 Combine like terms: 3x + 7x = 10x 15 + 10x = -2x + -3 Reorder the terms: 15 + 10x = -3 + -2x Solving 15 + 10x = -3 + -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 = -3 + -2x + 2x Combine like terms: 10x + 2x = 12x 15 + 12x = -3 + -2x + 2x Combine like terms: -2x + 2x = 0 15 + 12x = -3 + 0 15 + 12x = -3 Add '-15' to each side of the equation. 15 + -15 + 12x = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 12x = -3 + -15 12x = -3 + -15 Combine like terms: -3 + -15 = -18 12x = -18 Divide each side by '12'. x = -1.5 Simplifying x = -1.5
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