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Simplifying 4 + -8x = 5(4x + 6) + -2x Reorder the terms: 4 + -8x = 5(6 + 4x) + -2x 4 + -8x = (6 * 5 + 4x * 5) + -2x 4 + -8x = (30 + 20x) + -2x Combine like terms: 20x + -2x = 18x 4 + -8x = 30 + 18x Solving 4 + -8x = 30 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 4 + -8x + -18x = 30 + 18x + -18x Combine like terms: -8x + -18x = -26x 4 + -26x = 30 + 18x + -18x Combine like terms: 18x + -18x = 0 4 + -26x = 30 + 0 4 + -26x = 30 Add '-4' to each side of the equation. 4 + -4 + -26x = 30 + -4 Combine like terms: 4 + -4 = 0 0 + -26x = 30 + -4 -26x = 30 + -4 Combine like terms: 30 + -4 = 26 -26x = 26 Divide each side by '-26'. x = -1 Simplifying x = -1
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