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Simplifying 8x + -2(4x + -5) = 7x + -2 Reorder the terms: 8x + -2(-5 + 4x) = 7x + -2 8x + (-5 * -2 + 4x * -2) = 7x + -2 8x + (10 + -8x) = 7x + -2 Reorder the terms: 10 + 8x + -8x = 7x + -2 Combine like terms: 8x + -8x = 0 10 + 0 = 7x + -2 10 = 7x + -2 Reorder the terms: 10 = -2 + 7x Solving 10 = -2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + -7x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -7x = -2 + 0 10 + -7x = -2 Add '-10' to each side of the equation. 10 + -10 + -7x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = -2 + -10 -7x = -2 + -10 Combine like terms: -2 + -10 = -12 -7x = -12 Divide each side by '-7'. x = 1.714285714 Simplifying x = 1.714285714
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