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Simplifying -4x + 4(4x + -6) = 4(6x + 4) + -4 Reorder the terms: -4x + 4(-6 + 4x) = 4(6x + 4) + -4 -4x + (-6 * 4 + 4x * 4) = 4(6x + 4) + -4 -4x + (-24 + 16x) = 4(6x + 4) + -4 Reorder the terms: -24 + -4x + 16x = 4(6x + 4) + -4 Combine like terms: -4x + 16x = 12x -24 + 12x = 4(6x + 4) + -4 Reorder the terms: -24 + 12x = 4(4 + 6x) + -4 -24 + 12x = (4 * 4 + 6x * 4) + -4 -24 + 12x = (16 + 24x) + -4 Reorder the terms: -24 + 12x = 16 + -4 + 24x Combine like terms: 16 + -4 = 12 -24 + 12x = 12 + 24x Solving -24 + 12x = 12 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -24 + 12x + -24x = 12 + 24x + -24x Combine like terms: 12x + -24x = -12x -24 + -12x = 12 + 24x + -24x Combine like terms: 24x + -24x = 0 -24 + -12x = 12 + 0 -24 + -12x = 12 Add '24' to each side of the equation. -24 + 24 + -12x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -12x = 12 + 24 -12x = 12 + 24 Combine like terms: 12 + 24 = 36 -12x = 36 Divide each side by '-12'. x = -3 Simplifying x = -3
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