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Simplifying 6 + -3(2x + 4) + -2x = 7x + 4(5 + -2x) + -8 Reorder the terms: 6 + -3(4 + 2x) + -2x = 7x + 4(5 + -2x) + -8 6 + (4 * -3 + 2x * -3) + -2x = 7x + 4(5 + -2x) + -8 6 + (-12 + -6x) + -2x = 7x + 4(5 + -2x) + -8 Combine like terms: 6 + -12 = -6 -6 + -6x + -2x = 7x + 4(5 + -2x) + -8 Combine like terms: -6x + -2x = -8x -6 + -8x = 7x + 4(5 + -2x) + -8 -6 + -8x = 7x + (5 * 4 + -2x * 4) + -8 -6 + -8x = 7x + (20 + -8x) + -8 Reorder the terms: -6 + -8x = 20 + -8 + 7x + -8x Combine like terms: 20 + -8 = 12 -6 + -8x = 12 + 7x + -8x Combine like terms: 7x + -8x = -1x -6 + -8x = 12 + -1x Solving -6 + -8x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + -8x + x = 12 + -1x + x Combine like terms: -8x + x = -7x -6 + -7x = 12 + -1x + x Combine like terms: -1x + x = 0 -6 + -7x = 12 + 0 -6 + -7x = 12 Add '6' to each side of the equation. -6 + 6 + -7x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = 12 + 6 -7x = 12 + 6 Combine like terms: 12 + 6 = 18 -7x = 18 Divide each side by '-7'. x = -2.571428571 Simplifying x = -2.571428571
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