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Simplifying -2(5x + -6) + 6x = 8 + 2(7x + -6) Reorder the terms: -2(-6 + 5x) + 6x = 8 + 2(7x + -6) (-6 * -2 + 5x * -2) + 6x = 8 + 2(7x + -6) (12 + -10x) + 6x = 8 + 2(7x + -6) Combine like terms: -10x + 6x = -4x 12 + -4x = 8 + 2(7x + -6) Reorder the terms: 12 + -4x = 8 + 2(-6 + 7x) 12 + -4x = 8 + (-6 * 2 + 7x * 2) 12 + -4x = 8 + (-12 + 14x) Combine like terms: 8 + -12 = -4 12 + -4x = -4 + 14x Solving 12 + -4x = -4 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 12 + -4x + -14x = -4 + 14x + -14x Combine like terms: -4x + -14x = -18x 12 + -18x = -4 + 14x + -14x Combine like terms: 14x + -14x = 0 12 + -18x = -4 + 0 12 + -18x = -4 Add '-12' to each side of the equation. 12 + -12 + -18x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -18x = -4 + -12 -18x = -4 + -12 Combine like terms: -4 + -12 = -16 -18x = -16 Divide each side by '-18'. x = 0.8888888889 Simplifying x = 0.8888888889
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