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Simplifying 4(3 + -6x) = -2(x + 5) (3 * 4 + -6x * 4) = -2(x + 5) (12 + -24x) = -2(x + 5) Reorder the terms: 12 + -24x = -2(5 + x) 12 + -24x = (5 * -2 + x * -2) 12 + -24x = (-10 + -2x) Solving 12 + -24x = -10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 12 + -24x + 2x = -10 + -2x + 2x Combine like terms: -24x + 2x = -22x 12 + -22x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + -22x = -10 + 0 12 + -22x = -10 Add '-12' to each side of the equation. 12 + -12 + -22x = -10 + -12 Combine like terms: 12 + -12 = 0 0 + -22x = -10 + -12 -22x = -10 + -12 Combine like terms: -10 + -12 = -22 -22x = -22 Divide each side by '-22'. x = 1 Simplifying x = 1
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