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Simplifying -52 = 4(5 + 6x) -52 = (5 * 4 + 6x * 4) -52 = (20 + 24x) Solving -52 = 20 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -52 + -24x = 20 + 24x + -24x Combine like terms: 24x + -24x = 0 -52 + -24x = 20 + 0 -52 + -24x = 20 Add '52' to each side of the equation. -52 + 52 + -24x = 20 + 52 Combine like terms: -52 + 52 = 0 0 + -24x = 20 + 52 -24x = 20 + 52 Combine like terms: 20 + 52 = 72 -24x = 72 Divide each side by '-24'. x = -3 Simplifying x = -3
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