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Simplifying -4(2x + -4) = 10(4x + -2) + -12x Reorder the terms: -4(-4 + 2x) = 10(4x + -2) + -12x (-4 * -4 + 2x * -4) = 10(4x + -2) + -12x (16 + -8x) = 10(4x + -2) + -12x Reorder the terms: 16 + -8x = 10(-2 + 4x) + -12x 16 + -8x = (-2 * 10 + 4x * 10) + -12x 16 + -8x = (-20 + 40x) + -12x Combine like terms: 40x + -12x = 28x 16 + -8x = -20 + 28x Solving 16 + -8x = -20 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 16 + -8x + -28x = -20 + 28x + -28x Combine like terms: -8x + -28x = -36x 16 + -36x = -20 + 28x + -28x Combine like terms: 28x + -28x = 0 16 + -36x = -20 + 0 16 + -36x = -20 Add '-16' to each side of the equation. 16 + -16 + -36x = -20 + -16 Combine like terms: 16 + -16 = 0 0 + -36x = -20 + -16 -36x = -20 + -16 Combine like terms: -20 + -16 = -36 -36x = -36 Divide each side by '-36'. x = 1 Simplifying x = 1
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