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