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Simplifying 4(3x + 1) + -5(12x + 7) = 17 Reorder the terms: 4(1 + 3x) + -5(12x + 7) = 17 (1 * 4 + 3x * 4) + -5(12x + 7) = 17 (4 + 12x) + -5(12x + 7) = 17 Reorder the terms: 4 + 12x + -5(7 + 12x) = 17 4 + 12x + (7 * -5 + 12x * -5) = 17 4 + 12x + (-35 + -60x) = 17 Reorder the terms: 4 + -35 + 12x + -60x = 17 Combine like terms: 4 + -35 = -31 -31 + 12x + -60x = 17 Combine like terms: 12x + -60x = -48x -31 + -48x = 17 Solving -31 + -48x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -48x = 17 + 31 Combine like terms: -31 + 31 = 0 0 + -48x = 17 + 31 -48x = 17 + 31 Combine like terms: 17 + 31 = 48 -48x = 48 Divide each side by '-48'. x = -1 Simplifying x = -1
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