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Simplifying 4(6x + -2) = 2(2x + -5) Reorder the terms: 4(-2 + 6x) = 2(2x + -5) (-2 * 4 + 6x * 4) = 2(2x + -5) (-8 + 24x) = 2(2x + -5) Reorder the terms: -8 + 24x = 2(-5 + 2x) -8 + 24x = (-5 * 2 + 2x * 2) -8 + 24x = (-10 + 4x) Solving -8 + 24x = -10 + 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. -8 + 24x + -4x = -10 + 4x + -4x Combine like terms: 24x + -4x = 20x -8 + 20x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 20x = -10 + 0 -8 + 20x = -10 Add '8' to each side of the equation. -8 + 8 + 20x = -10 + 8 Combine like terms: -8 + 8 = 0 0 + 20x = -10 + 8 20x = -10 + 8 Combine like terms: -10 + 8 = -2 20x = -2 Divide each side by '20'. x = -0.1 Simplifying x = -0.1
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