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Simplifying 4x + -24 = -5(6x + -2) Reorder the terms: -24 + 4x = -5(6x + -2) Reorder the terms: -24 + 4x = -5(-2 + 6x) -24 + 4x = (-2 * -5 + 6x * -5) -24 + 4x = (10 + -30x) Solving -24 + 4x = 10 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -24 + 4x + 30x = 10 + -30x + 30x Combine like terms: 4x + 30x = 34x -24 + 34x = 10 + -30x + 30x Combine like terms: -30x + 30x = 0 -24 + 34x = 10 + 0 -24 + 34x = 10 Add '24' to each side of the equation. -24 + 24 + 34x = 10 + 24 Combine like terms: -24 + 24 = 0 0 + 34x = 10 + 24 34x = 10 + 24 Combine like terms: 10 + 24 = 34 34x = 34 Divide each side by '34'. x = 1 Simplifying x = 1
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