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Simplifying 2(2x + -1) + -4(x + 1) = 2x + 2 Reorder the terms: 2(-1 + 2x) + -4(x + 1) = 2x + 2 (-1 * 2 + 2x * 2) + -4(x + 1) = 2x + 2 (-2 + 4x) + -4(x + 1) = 2x + 2 Reorder the terms: -2 + 4x + -4(1 + x) = 2x + 2 -2 + 4x + (1 * -4 + x * -4) = 2x + 2 -2 + 4x + (-4 + -4x) = 2x + 2 Reorder the terms: -2 + -4 + 4x + -4x = 2x + 2 Combine like terms: -2 + -4 = -6 -6 + 4x + -4x = 2x + 2 Combine like terms: 4x + -4x = 0 -6 + 0 = 2x + 2 -6 = 2x + 2 Reorder the terms: -6 = 2 + 2x Solving -6 = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + -2x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -2x = 2 + 0 -6 + -2x = 2 Add '6' to each side of the equation. -6 + 6 + -2x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 2 + 6 -2x = 2 + 6 Combine like terms: 2 + 6 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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