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Simplifying 10(5x + -7) = 8(3x + 1) Reorder the terms: 10(-7 + 5x) = 8(3x + 1) (-7 * 10 + 5x * 10) = 8(3x + 1) (-70 + 50x) = 8(3x + 1) Reorder the terms: -70 + 50x = 8(1 + 3x) -70 + 50x = (1 * 8 + 3x * 8) -70 + 50x = (8 + 24x) Solving -70 + 50x = 8 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -70 + 50x + -24x = 8 + 24x + -24x Combine like terms: 50x + -24x = 26x -70 + 26x = 8 + 24x + -24x Combine like terms: 24x + -24x = 0 -70 + 26x = 8 + 0 -70 + 26x = 8 Add '70' to each side of the equation. -70 + 70 + 26x = 8 + 70 Combine like terms: -70 + 70 = 0 0 + 26x = 8 + 70 26x = 8 + 70 Combine like terms: 8 + 70 = 78 26x = 78 Divide each side by '26'. x = 3 Simplifying x = 3
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