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Simplifying 8(4x + -2) = 10(7x + -9) Reorder the terms: 8(-2 + 4x) = 10(7x + -9) (-2 * 8 + 4x * 8) = 10(7x + -9) (-16 + 32x) = 10(7x + -9) Reorder the terms: -16 + 32x = 10(-9 + 7x) -16 + 32x = (-9 * 10 + 7x * 10) -16 + 32x = (-90 + 70x) Solving -16 + 32x = -90 + 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. -16 + 32x + -70x = -90 + 70x + -70x Combine like terms: 32x + -70x = -38x -16 + -38x = -90 + 70x + -70x Combine like terms: 70x + -70x = 0 -16 + -38x = -90 + 0 -16 + -38x = -90 Add '16' to each side of the equation. -16 + 16 + -38x = -90 + 16 Combine like terms: -16 + 16 = 0 0 + -38x = -90 + 16 -38x = -90 + 16 Combine like terms: -90 + 16 = -74 -38x = -74 Divide each side by '-38'. x = 1.947368421 Simplifying x = 1.947368421
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