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Simplifying (2x + -6) + -1(3x + -4) = -4(-4 + x) + -4x + 6 Reorder the terms: (-6 + 2x) + -1(3x + -4) = -4(-4 + x) + -4x + 6 Remove parenthesis around (-6 + 2x) -6 + 2x + -1(3x + -4) = -4(-4 + x) + -4x + 6 Reorder the terms: -6 + 2x + -1(-4 + 3x) = -4(-4 + x) + -4x + 6 -6 + 2x + (-4 * -1 + 3x * -1) = -4(-4 + x) + -4x + 6 -6 + 2x + (4 + -3x) = -4(-4 + x) + -4x + 6 Reorder the terms: -6 + 4 + 2x + -3x = -4(-4 + x) + -4x + 6 Combine like terms: -6 + 4 = -2 -2 + 2x + -3x = -4(-4 + x) + -4x + 6 Combine like terms: 2x + -3x = -1x -2 + -1x = -4(-4 + x) + -4x + 6 -2 + -1x = (-4 * -4 + x * -4) + -4x + 6 -2 + -1x = (16 + -4x) + -4x + 6 Reorder the terms: -2 + -1x = 16 + 6 + -4x + -4x Combine like terms: 16 + 6 = 22 -2 + -1x = 22 + -4x + -4x Combine like terms: -4x + -4x = -8x -2 + -1x = 22 + -8x Solving -2 + -1x = 22 + -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. -2 + -1x + 8x = 22 + -8x + 8x Combine like terms: -1x + 8x = 7x -2 + 7x = 22 + -8x + 8x Combine like terms: -8x + 8x = 0 -2 + 7x = 22 + 0 -2 + 7x = 22 Add '2' to each side of the equation. -2 + 2 + 7x = 22 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 22 + 2 7x = 22 + 2 Combine like terms: 22 + 2 = 24 7x = 24 Divide each side by '7'. x = 3.428571429 Simplifying x = 3.428571429
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