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Simplifying 6(x + 4) = 30(x + -4) Reorder the terms: 6(4 + x) = 30(x + -4) (4 * 6 + x * 6) = 30(x + -4) (24 + 6x) = 30(x + -4) Reorder the terms: 24 + 6x = 30(-4 + x) 24 + 6x = (-4 * 30 + x * 30) 24 + 6x = (-120 + 30x) Solving 24 + 6x = -120 + 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 + 6x + -30x = -120 + 30x + -30x Combine like terms: 6x + -30x = -24x 24 + -24x = -120 + 30x + -30x Combine like terms: 30x + -30x = 0 24 + -24x = -120 + 0 24 + -24x = -120 Add '-24' to each side of the equation. 24 + -24 + -24x = -120 + -24 Combine like terms: 24 + -24 = 0 0 + -24x = -120 + -24 -24x = -120 + -24 Combine like terms: -120 + -24 = -144 -24x = -144 Divide each side by '-24'. x = 6 Simplifying x = 6
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