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Simplifying 4(3x + 5) = 6(x + 8) + -1x Reorder the terms: 4(5 + 3x) = 6(x + 8) + -1x (5 * 4 + 3x * 4) = 6(x + 8) + -1x (20 + 12x) = 6(x + 8) + -1x Reorder the terms: 20 + 12x = 6(8 + x) + -1x 20 + 12x = (8 * 6 + x * 6) + -1x 20 + 12x = (48 + 6x) + -1x Combine like terms: 6x + -1x = 5x 20 + 12x = 48 + 5x Solving 20 + 12x = 48 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 20 + 12x + -5x = 48 + 5x + -5x Combine like terms: 12x + -5x = 7x 20 + 7x = 48 + 5x + -5x Combine like terms: 5x + -5x = 0 20 + 7x = 48 + 0 20 + 7x = 48 Add '-20' to each side of the equation. 20 + -20 + 7x = 48 + -20 Combine like terms: 20 + -20 = 0 0 + 7x = 48 + -20 7x = 48 + -20 Combine like terms: 48 + -20 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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