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Simplifying 7(x + 2) + -1(6x + -4) = 8x Reorder the terms: 7(2 + x) + -1(6x + -4) = 8x (2 * 7 + x * 7) + -1(6x + -4) = 8x (14 + 7x) + -1(6x + -4) = 8x Reorder the terms: 14 + 7x + -1(-4 + 6x) = 8x 14 + 7x + (-4 * -1 + 6x * -1) = 8x 14 + 7x + (4 + -6x) = 8x Reorder the terms: 14 + 4 + 7x + -6x = 8x Combine like terms: 14 + 4 = 18 18 + 7x + -6x = 8x Combine like terms: 7x + -6x = 1x 18 + 1x = 8x Solving 18 + 1x = 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. 18 + 1x + -8x = 8x + -8x Combine like terms: 1x + -8x = -7x 18 + -7x = 8x + -8x Combine like terms: 8x + -8x = 0 18 + -7x = 0 Add '-18' to each side of the equation. 18 + -18 + -7x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -7x = 0 + -18 -7x = 0 + -18 Combine like terms: 0 + -18 = -18 -7x = -18 Divide each side by '-7'. x = 2.571428571 Simplifying x = 2.571428571
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