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Simplifying 4[3x + -6] + 8x = 17x + 62 Reorder the terms: 4[-6 + 3x] + 8x = 17x + 62 [-6 * 4 + 3x * 4] + 8x = 17x + 62 [-24 + 12x] + 8x = 17x + 62 Combine like terms: 12x + 8x = 20x -24 + 20x = 17x + 62 Reorder the terms: -24 + 20x = 62 + 17x Solving -24 + 20x = 62 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -24 + 20x + -17x = 62 + 17x + -17x Combine like terms: 20x + -17x = 3x -24 + 3x = 62 + 17x + -17x Combine like terms: 17x + -17x = 0 -24 + 3x = 62 + 0 -24 + 3x = 62 Add '24' to each side of the equation. -24 + 24 + 3x = 62 + 24 Combine like terms: -24 + 24 = 0 0 + 3x = 62 + 24 3x = 62 + 24 Combine like terms: 62 + 24 = 86 3x = 86 Divide each side by '3'. x = 28.66666667 Simplifying x = 28.66666667
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