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Simplifying 10 + 4(4x + -4) = 6(2x + -1) Reorder the terms: 10 + 4(-4 + 4x) = 6(2x + -1) 10 + (-4 * 4 + 4x * 4) = 6(2x + -1) 10 + (-16 + 16x) = 6(2x + -1) Combine like terms: 10 + -16 = -6 -6 + 16x = 6(2x + -1) Reorder the terms: -6 + 16x = 6(-1 + 2x) -6 + 16x = (-1 * 6 + 2x * 6) -6 + 16x = (-6 + 12x) Add '6' to each side of the equation. -6 + 6 + 16x = -6 + 6 + 12x Combine like terms: -6 + 6 = 0 0 + 16x = -6 + 6 + 12x 16x = -6 + 6 + 12x Combine like terms: -6 + 6 = 0 16x = 0 + 12x 16x = 12x Solving 16x = 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. 16x + -12x = 12x + -12x Combine like terms: 16x + -12x = 4x 4x = 12x + -12x Combine like terms: 12x + -12x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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