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Simplifying 2(2x + -6) = -4(2x + -10) Reorder the terms: 2(-6 + 2x) = -4(2x + -10) (-6 * 2 + 2x * 2) = -4(2x + -10) (-12 + 4x) = -4(2x + -10) Reorder the terms: -12 + 4x = -4(-10 + 2x) -12 + 4x = (-10 * -4 + 2x * -4) -12 + 4x = (40 + -8x) Solving -12 + 4x = 40 + -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. -12 + 4x + 8x = 40 + -8x + 8x Combine like terms: 4x + 8x = 12x -12 + 12x = 40 + -8x + 8x Combine like terms: -8x + 8x = 0 -12 + 12x = 40 + 0 -12 + 12x = 40 Add '12' to each side of the equation. -12 + 12 + 12x = 40 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = 40 + 12 12x = 40 + 12 Combine like terms: 40 + 12 = 52 12x = 52 Divide each side by '12'. x = 4.333333333 Simplifying x = 4.333333333
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