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Simplifying 2x + -2(4x + -2) = 10x + 36 Reorder the terms: 2x + -2(-2 + 4x) = 10x + 36 2x + (-2 * -2 + 4x * -2) = 10x + 36 2x + (4 + -8x) = 10x + 36 Reorder the terms: 4 + 2x + -8x = 10x + 36 Combine like terms: 2x + -8x = -6x 4 + -6x = 10x + 36 Reorder the terms: 4 + -6x = 36 + 10x Solving 4 + -6x = 36 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 4 + -6x + -10x = 36 + 10x + -10x Combine like terms: -6x + -10x = -16x 4 + -16x = 36 + 10x + -10x Combine like terms: 10x + -10x = 0 4 + -16x = 36 + 0 4 + -16x = 36 Add '-4' to each side of the equation. 4 + -4 + -16x = 36 + -4 Combine like terms: 4 + -4 = 0 0 + -16x = 36 + -4 -16x = 36 + -4 Combine like terms: 36 + -4 = 32 -16x = 32 Divide each side by '-16'. x = -2 Simplifying x = -2
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