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Simplifying 3(x + -2) + -4(2x + 4) = x + -1 Reorder the terms: 3(-2 + x) + -4(2x + 4) = x + -1 (-2 * 3 + x * 3) + -4(2x + 4) = x + -1 (-6 + 3x) + -4(2x + 4) = x + -1 Reorder the terms: -6 + 3x + -4(4 + 2x) = x + -1 -6 + 3x + (4 * -4 + 2x * -4) = x + -1 -6 + 3x + (-16 + -8x) = x + -1 Reorder the terms: -6 + -16 + 3x + -8x = x + -1 Combine like terms: -6 + -16 = -22 -22 + 3x + -8x = x + -1 Combine like terms: 3x + -8x = -5x -22 + -5x = x + -1 Reorder the terms: -22 + -5x = -1 + x Solving -22 + -5x = -1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -22 + -5x + -1x = -1 + x + -1x Combine like terms: -5x + -1x = -6x -22 + -6x = -1 + x + -1x Combine like terms: x + -1x = 0 -22 + -6x = -1 + 0 -22 + -6x = -1 Add '22' to each side of the equation. -22 + 22 + -6x = -1 + 22 Combine like terms: -22 + 22 = 0 0 + -6x = -1 + 22 -6x = -1 + 22 Combine like terms: -1 + 22 = 21 -6x = 21 Divide each side by '-6'. x = -3.5 Simplifying x = -3.5
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