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Simplifying 2(x + -4) = 3(2x + 2) + -4 Reorder the terms: 2(-4 + x) = 3(2x + 2) + -4 (-4 * 2 + x * 2) = 3(2x + 2) + -4 (-8 + 2x) = 3(2x + 2) + -4 Reorder the terms: -8 + 2x = 3(2 + 2x) + -4 -8 + 2x = (2 * 3 + 2x * 3) + -4 -8 + 2x = (6 + 6x) + -4 Reorder the terms: -8 + 2x = 6 + -4 + 6x Combine like terms: 6 + -4 = 2 -8 + 2x = 2 + 6x Solving -8 + 2x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 2x + -6x = 2 + 6x + -6x Combine like terms: 2x + -6x = -4x -8 + -4x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -4x = 2 + 0 -8 + -4x = 2 Add '8' to each side of the equation. -8 + 8 + -4x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = 2 + 8 -4x = 2 + 8 Combine like terms: 2 + 8 = 10 -4x = 10 Divide each side by '-4'. x = -2.5 Simplifying x = -2.5
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