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Simplifying 8(10x + -1) + 3 = -14(5x + -1) Reorder the terms: 8(-1 + 10x) + 3 = -14(5x + -1) (-1 * 8 + 10x * 8) + 3 = -14(5x + -1) (-8 + 80x) + 3 = -14(5x + -1) Reorder the terms: -8 + 3 + 80x = -14(5x + -1) Combine like terms: -8 + 3 = -5 -5 + 80x = -14(5x + -1) Reorder the terms: -5 + 80x = -14(-1 + 5x) -5 + 80x = (-1 * -14 + 5x * -14) -5 + 80x = (14 + -70x) Solving -5 + 80x = 14 + -70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '70x' to each side of the equation. -5 + 80x + 70x = 14 + -70x + 70x Combine like terms: 80x + 70x = 150x -5 + 150x = 14 + -70x + 70x Combine like terms: -70x + 70x = 0 -5 + 150x = 14 + 0 -5 + 150x = 14 Add '5' to each side of the equation. -5 + 5 + 150x = 14 + 5 Combine like terms: -5 + 5 = 0 0 + 150x = 14 + 5 150x = 14 + 5 Combine like terms: 14 + 5 = 19 150x = 19 Divide each side by '150'. x = 0.1266666667 Simplifying x = 0.1266666667
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