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Simplifying x + -2(x + -4 + x + -2) = 84 Reorder the terms: x + -2(-4 + -2 + x + x) = 84 Combine like terms: -4 + -2 = -6 x + -2(-6 + x + x) = 84 Combine like terms: x + x = 2x x + -2(-6 + 2x) = 84 x + (-6 * -2 + 2x * -2) = 84 x + (12 + -4x) = 84 Reorder the terms: 12 + x + -4x = 84 Combine like terms: x + -4x = -3x 12 + -3x = 84 Solving 12 + -3x = 84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -3x = 84 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = 84 + -12 -3x = 84 + -12 Combine like terms: 84 + -12 = 72 -3x = 72 Divide each side by '-3'. x = -24 Simplifying x = -24
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