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Simplifying 5(3x + 7) = 15 + -10(2 + -1x) Reorder the terms: 5(7 + 3x) = 15 + -10(2 + -1x) (7 * 5 + 3x * 5) = 15 + -10(2 + -1x) (35 + 15x) = 15 + -10(2 + -1x) 35 + 15x = 15 + (2 * -10 + -1x * -10) 35 + 15x = 15 + (-20 + 10x) Combine like terms: 15 + -20 = -5 35 + 15x = -5 + 10x Solving 35 + 15x = -5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 35 + 15x + -10x = -5 + 10x + -10x Combine like terms: 15x + -10x = 5x 35 + 5x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 35 + 5x = -5 + 0 35 + 5x = -5 Add '-35' to each side of the equation. 35 + -35 + 5x = -5 + -35 Combine like terms: 35 + -35 = 0 0 + 5x = -5 + -35 5x = -5 + -35 Combine like terms: -5 + -35 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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