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Simplifying 4(6x + -2) = 5(2x + 2) Reorder the terms: 4(-2 + 6x) = 5(2x + 2) (-2 * 4 + 6x * 4) = 5(2x + 2) (-8 + 24x) = 5(2x + 2) Reorder the terms: -8 + 24x = 5(2 + 2x) -8 + 24x = (2 * 5 + 2x * 5) -8 + 24x = (10 + 10x) Solving -8 + 24x = 10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -8 + 24x + -10x = 10 + 10x + -10x Combine like terms: 24x + -10x = 14x -8 + 14x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + 14x = 10 + 0 -8 + 14x = 10 Add '8' to each side of the equation. -8 + 8 + 14x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 14x = 10 + 8 14x = 10 + 8 Combine like terms: 10 + 8 = 18 14x = 18 Divide each side by '14'. x = 1.285714286 Simplifying x = 1.285714286
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