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Simplifying 4x + -1(5x + -4) = 12 + 3x Reorder the terms: 4x + -1(-4 + 5x) = 12 + 3x 4x + (-4 * -1 + 5x * -1) = 12 + 3x 4x + (4 + -5x) = 12 + 3x Reorder the terms: 4 + 4x + -5x = 12 + 3x Combine like terms: 4x + -5x = -1x 4 + -1x = 12 + 3x Solving 4 + -1x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + -1x + -3x = 12 + 3x + -3x Combine like terms: -1x + -3x = -4x 4 + -4x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -4x = 12 + 0 4 + -4x = 12 Add '-4' to each side of the equation. 4 + -4 + -4x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 12 + -4 -4x = 12 + -4 Combine like terms: 12 + -4 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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