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Simplifying 4(6 + -1x) = 10(2x + -2) + -52 (6 * 4 + -1x * 4) = 10(2x + -2) + -52 (24 + -4x) = 10(2x + -2) + -52 Reorder the terms: 24 + -4x = 10(-2 + 2x) + -52 24 + -4x = (-2 * 10 + 2x * 10) + -52 24 + -4x = (-20 + 20x) + -52 Reorder the terms: 24 + -4x = -20 + -52 + 20x Combine like terms: -20 + -52 = -72 24 + -4x = -72 + 20x Solving 24 + -4x = -72 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 24 + -4x + -20x = -72 + 20x + -20x Combine like terms: -4x + -20x = -24x 24 + -24x = -72 + 20x + -20x Combine like terms: 20x + -20x = 0 24 + -24x = -72 + 0 24 + -24x = -72 Add '-24' to each side of the equation. 24 + -24 + -24x = -72 + -24 Combine like terms: 24 + -24 = 0 0 + -24x = -72 + -24 -24x = -72 + -24 Combine like terms: -72 + -24 = -96 -24x = -96 Divide each side by '-24'. x = 4 Simplifying x = 4
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