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Simplifying 3x + -1(-2x + 6) = 4(x + -4) + -1x Reorder the terms: 3x + -1(6 + -2x) = 4(x + -4) + -1x 3x + (6 * -1 + -2x * -1) = 4(x + -4) + -1x 3x + (-6 + 2x) = 4(x + -4) + -1x Reorder the terms: -6 + 3x + 2x = 4(x + -4) + -1x Combine like terms: 3x + 2x = 5x -6 + 5x = 4(x + -4) + -1x Reorder the terms: -6 + 5x = 4(-4 + x) + -1x -6 + 5x = (-4 * 4 + x * 4) + -1x -6 + 5x = (-16 + 4x) + -1x Combine like terms: 4x + -1x = 3x -6 + 5x = -16 + 3x Solving -6 + 5x = -16 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 5x + -3x = -16 + 3x + -3x Combine like terms: 5x + -3x = 2x -6 + 2x = -16 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 2x = -16 + 0 -6 + 2x = -16 Add '6' to each side of the equation. -6 + 6 + 2x = -16 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = -16 + 6 2x = -16 + 6 Combine like terms: -16 + 6 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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