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Simplifying 4(3x + -4) + 5(6 + x) = 48 Reorder the terms: 4(-4 + 3x) + 5(6 + x) = 48 (-4 * 4 + 3x * 4) + 5(6 + x) = 48 (-16 + 12x) + 5(6 + x) = 48 -16 + 12x + (6 * 5 + x * 5) = 48 -16 + 12x + (30 + 5x) = 48 Reorder the terms: -16 + 30 + 12x + 5x = 48 Combine like terms: -16 + 30 = 14 14 + 12x + 5x = 48 Combine like terms: 12x + 5x = 17x 14 + 17x = 48 Solving 14 + 17x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 17x = 48 + -14 Combine like terms: 14 + -14 = 0 0 + 17x = 48 + -14 17x = 48 + -14 Combine like terms: 48 + -14 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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