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Simplifying 6(3x + 5) + -10(x + -2) = 5(5x + -7) Reorder the terms: 6(5 + 3x) + -10(x + -2) = 5(5x + -7) (5 * 6 + 3x * 6) + -10(x + -2) = 5(5x + -7) (30 + 18x) + -10(x + -2) = 5(5x + -7) Reorder the terms: 30 + 18x + -10(-2 + x) = 5(5x + -7) 30 + 18x + (-2 * -10 + x * -10) = 5(5x + -7) 30 + 18x + (20 + -10x) = 5(5x + -7) Reorder the terms: 30 + 20 + 18x + -10x = 5(5x + -7) Combine like terms: 30 + 20 = 50 50 + 18x + -10x = 5(5x + -7) Combine like terms: 18x + -10x = 8x 50 + 8x = 5(5x + -7) Reorder the terms: 50 + 8x = 5(-7 + 5x) 50 + 8x = (-7 * 5 + 5x * 5) 50 + 8x = (-35 + 25x) Solving 50 + 8x = -35 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 50 + 8x + -25x = -35 + 25x + -25x Combine like terms: 8x + -25x = -17x 50 + -17x = -35 + 25x + -25x Combine like terms: 25x + -25x = 0 50 + -17x = -35 + 0 50 + -17x = -35 Add '-50' to each side of the equation. 50 + -50 + -17x = -35 + -50 Combine like terms: 50 + -50 = 0 0 + -17x = -35 + -50 -17x = -35 + -50 Combine like terms: -35 + -50 = -85 -17x = -85 Divide each side by '-17'. x = 5 Simplifying x = 5
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