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Simplifying -3x + 4(x + -1) = 6 + -4(x + 2) Reorder the terms: -3x + 4(-1 + x) = 6 + -4(x + 2) -3x + (-1 * 4 + x * 4) = 6 + -4(x + 2) -3x + (-4 + 4x) = 6 + -4(x + 2) Reorder the terms: -4 + -3x + 4x = 6 + -4(x + 2) Combine like terms: -3x + 4x = 1x -4 + 1x = 6 + -4(x + 2) Reorder the terms: -4 + 1x = 6 + -4(2 + x) -4 + 1x = 6 + (2 * -4 + x * -4) -4 + 1x = 6 + (-8 + -4x) Combine like terms: 6 + -8 = -2 -4 + 1x = -2 + -4x Solving -4 + 1x = -2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -4 + 1x + 4x = -2 + -4x + 4x Combine like terms: 1x + 4x = 5x -4 + 5x = -2 + -4x + 4x Combine like terms: -4x + 4x = 0 -4 + 5x = -2 + 0 -4 + 5x = -2 Add '4' to each side of the equation. -4 + 4 + 5x = -2 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = -2 + 4 5x = -2 + 4 Combine like terms: -2 + 4 = 2 5x = 2 Divide each side by '5'. x = 0.4 Simplifying x = 0.4
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