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Simplifying 2(x + -2) + -4(2 + -1x) = x + -3(x + 2) Reorder the terms: 2(-2 + x) + -4(2 + -1x) = x + -3(x + 2) (-2 * 2 + x * 2) + -4(2 + -1x) = x + -3(x + 2) (-4 + 2x) + -4(2 + -1x) = x + -3(x + 2) -4 + 2x + (2 * -4 + -1x * -4) = x + -3(x + 2) -4 + 2x + (-8 + 4x) = x + -3(x + 2) Reorder the terms: -4 + -8 + 2x + 4x = x + -3(x + 2) Combine like terms: -4 + -8 = -12 -12 + 2x + 4x = x + -3(x + 2) Combine like terms: 2x + 4x = 6x -12 + 6x = x + -3(x + 2) Reorder the terms: -12 + 6x = x + -3(2 + x) -12 + 6x = x + (2 * -3 + x * -3) -12 + 6x = x + (-6 + -3x) Reorder the terms: -12 + 6x = -6 + x + -3x Combine like terms: x + -3x = -2x -12 + 6x = -6 + -2x Solving -12 + 6x = -6 + -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. -12 + 6x + 2x = -6 + -2x + 2x Combine like terms: 6x + 2x = 8x -12 + 8x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 8x = -6 + 0 -12 + 8x = -6 Add '12' to each side of the equation. -12 + 12 + 8x = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = -6 + 12 8x = -6 + 12 Combine like terms: -6 + 12 = 6 8x = 6 Divide each side by '8'. x = 0.75 Simplifying x = 0.75
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