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Simplifying -3x + 6 + -4(x + -1) = -2(2x + -4) + -4x + 4 Reorder the terms: -3x + 6 + -4(-1 + x) = -2(2x + -4) + -4x + 4 -3x + 6 + (-1 * -4 + x * -4) = -2(2x + -4) + -4x + 4 -3x + 6 + (4 + -4x) = -2(2x + -4) + -4x + 4 Reorder the terms: 6 + 4 + -3x + -4x = -2(2x + -4) + -4x + 4 Combine like terms: 6 + 4 = 10 10 + -3x + -4x = -2(2x + -4) + -4x + 4 Combine like terms: -3x + -4x = -7x 10 + -7x = -2(2x + -4) + -4x + 4 Reorder the terms: 10 + -7x = -2(-4 + 2x) + -4x + 4 10 + -7x = (-4 * -2 + 2x * -2) + -4x + 4 10 + -7x = (8 + -4x) + -4x + 4 Reorder the terms: 10 + -7x = 8 + 4 + -4x + -4x Combine like terms: 8 + 4 = 12 10 + -7x = 12 + -4x + -4x Combine like terms: -4x + -4x = -8x 10 + -7x = 12 + -8x Solving 10 + -7x = 12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 10 + -7x + 8x = 12 + -8x + 8x Combine like terms: -7x + 8x = 1x 10 + 1x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 10 + 1x = 12 + 0 10 + 1x = 12 Add '-10' to each side of the equation. 10 + -10 + 1x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 12 + -10 1x = 12 + -10 Combine like terms: 12 + -10 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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