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Simplifying 24 + 6x = -7(-4x + 6) Reorder the terms: 24 + 6x = -7(6 + -4x) 24 + 6x = (6 * -7 + -4x * -7) 24 + 6x = (-42 + 28x) Solving 24 + 6x = -42 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 24 + 6x + -28x = -42 + 28x + -28x Combine like terms: 6x + -28x = -22x 24 + -22x = -42 + 28x + -28x Combine like terms: 28x + -28x = 0 24 + -22x = -42 + 0 24 + -22x = -42 Add '-24' to each side of the equation. 24 + -24 + -22x = -42 + -24 Combine like terms: 24 + -24 = 0 0 + -22x = -42 + -24 -22x = -42 + -24 Combine like terms: -42 + -24 = -66 -22x = -66 Divide each side by '-22'. x = 3 Simplifying x = 3
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