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Simplifying -2(x + 6) + 2 = -4(10 + -2x) Reorder the terms: -2(6 + x) + 2 = -4(10 + -2x) (6 * -2 + x * -2) + 2 = -4(10 + -2x) (-12 + -2x) + 2 = -4(10 + -2x) Reorder the terms: -12 + 2 + -2x = -4(10 + -2x) Combine like terms: -12 + 2 = -10 -10 + -2x = -4(10 + -2x) -10 + -2x = (10 * -4 + -2x * -4) -10 + -2x = (-40 + 8x) Solving -10 + -2x = -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. -10 + -2x + -8x = -40 + 8x + -8x Combine like terms: -2x + -8x = -10x -10 + -10x = -40 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + -10x = -40 + 0 -10 + -10x = -40 Add '10' to each side of the equation. -10 + 10 + -10x = -40 + 10 Combine like terms: -10 + 10 = 0 0 + -10x = -40 + 10 -10x = -40 + 10 Combine like terms: -40 + 10 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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