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Simplifying 5(8 + -2x) = 4x + -2 (8 * 5 + -2x * 5) = 4x + -2 (40 + -10x) = 4x + -2 Reorder the terms: 40 + -10x = -2 + 4x Solving 40 + -10x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 40 + -10x + -4x = -2 + 4x + -4x Combine like terms: -10x + -4x = -14x 40 + -14x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 40 + -14x = -2 + 0 40 + -14x = -2 Add '-40' to each side of the equation. 40 + -40 + -14x = -2 + -40 Combine like terms: 40 + -40 = 0 0 + -14x = -2 + -40 -14x = -2 + -40 Combine like terms: -2 + -40 = -42 -14x = -42 Divide each side by '-14'. x = 3 Simplifying x = 3
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