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Simplifying 9(7x + 2) = -12(x + -4) Reorder the terms: 9(2 + 7x) = -12(x + -4) (2 * 9 + 7x * 9) = -12(x + -4) (18 + 63x) = -12(x + -4) Reorder the terms: 18 + 63x = -12(-4 + x) 18 + 63x = (-4 * -12 + x * -12) 18 + 63x = (48 + -12x) Solving 18 + 63x = 48 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 18 + 63x + 12x = 48 + -12x + 12x Combine like terms: 63x + 12x = 75x 18 + 75x = 48 + -12x + 12x Combine like terms: -12x + 12x = 0 18 + 75x = 48 + 0 18 + 75x = 48 Add '-18' to each side of the equation. 18 + -18 + 75x = 48 + -18 Combine like terms: 18 + -18 = 0 0 + 75x = 48 + -18 75x = 48 + -18 Combine like terms: 48 + -18 = 30 75x = 30 Divide each side by '75'. x = 0.4 Simplifying x = 0.4
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