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Simplifying 24x + -52 = -4(1 + 6x) Reorder the terms: -52 + 24x = -4(1 + 6x) -52 + 24x = (1 * -4 + 6x * -4) -52 + 24x = (-4 + -24x) Solving -52 + 24x = -4 + -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 + 24x = -4 + -24x + 24x Combine like terms: 24x + 24x = 48x -52 + 48x = -4 + -24x + 24x Combine like terms: -24x + 24x = 0 -52 + 48x = -4 + 0 -52 + 48x = -4 Add '52' to each side of the equation. -52 + 52 + 48x = -4 + 52 Combine like terms: -52 + 52 = 0 0 + 48x = -4 + 52 48x = -4 + 52 Combine like terms: -4 + 52 = 48 48x = 48 Divide each side by '48'. x = 1 Simplifying x = 1
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