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Simplifying 3(8x + 6) = 5(5x + -2) + 8 Reorder the terms: 3(6 + 8x) = 5(5x + -2) + 8 (6 * 3 + 8x * 3) = 5(5x + -2) + 8 (18 + 24x) = 5(5x + -2) + 8 Reorder the terms: 18 + 24x = 5(-2 + 5x) + 8 18 + 24x = (-2 * 5 + 5x * 5) + 8 18 + 24x = (-10 + 25x) + 8 Reorder the terms: 18 + 24x = -10 + 8 + 25x Combine like terms: -10 + 8 = -2 18 + 24x = -2 + 25x Solving 18 + 24x = -2 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 18 + 24x + -25x = -2 + 25x + -25x Combine like terms: 24x + -25x = -1x 18 + -1x = -2 + 25x + -25x Combine like terms: 25x + -25x = 0 18 + -1x = -2 + 0 18 + -1x = -2 Add '-18' to each side of the equation. 18 + -18 + -1x = -2 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = -2 + -18 -1x = -2 + -18 Combine like terms: -2 + -18 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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