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Simplifying 4(x + 12) = 14 + -2(3 + -4x) Reorder the terms: 4(12 + x) = 14 + -2(3 + -4x) (12 * 4 + x * 4) = 14 + -2(3 + -4x) (48 + 4x) = 14 + -2(3 + -4x) 48 + 4x = 14 + (3 * -2 + -4x * -2) 48 + 4x = 14 + (-6 + 8x) Combine like terms: 14 + -6 = 8 48 + 4x = 8 + 8x Solving 48 + 4x = 8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 48 + 4x + -8x = 8 + 8x + -8x Combine like terms: 4x + -8x = -4x 48 + -4x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 48 + -4x = 8 + 0 48 + -4x = 8 Add '-48' to each side of the equation. 48 + -48 + -4x = 8 + -48 Combine like terms: 48 + -48 = 0 0 + -4x = 8 + -48 -4x = 8 + -48 Combine like terms: 8 + -48 = -40 -4x = -40 Divide each side by '-4'. x = 10 Simplifying x = 10
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