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Simplifying 5(3x + 7) + -10 = 10x + -5 Reorder the terms: 5(7 + 3x) + -10 = 10x + -5 (7 * 5 + 3x * 5) + -10 = 10x + -5 (35 + 15x) + -10 = 10x + -5 Reorder the terms: 35 + -10 + 15x = 10x + -5 Combine like terms: 35 + -10 = 25 25 + 15x = 10x + -5 Reorder the terms: 25 + 15x = -5 + 10x Solving 25 + 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. 25 + 15x + -10x = -5 + 10x + -10x Combine like terms: 15x + -10x = 5x 25 + 5x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 25 + 5x = -5 + 0 25 + 5x = -5 Add '-25' to each side of the equation. 25 + -25 + 5x = -5 + -25 Combine like terms: 25 + -25 = 0 0 + 5x = -5 + -25 5x = -5 + -25 Combine like terms: -5 + -25 = -30 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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