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Simplifying 6 + -2(3x + 4) = 8x + -1(5 + -6) Reorder the terms: 6 + -2(4 + 3x) = 8x + -1(5 + -6) 6 + (4 * -2 + 3x * -2) = 8x + -1(5 + -6) 6 + (-8 + -6x) = 8x + -1(5 + -6) Combine like terms: 6 + -8 = -2 -2 + -6x = 8x + -1(5 + -6) Combine like terms: 5 + -6 = -1 -2 + -6x = 8x + -1(-1) Multiply -1 * -1 -2 + -6x = 8x + 1 Reorder the terms: -2 + -6x = 1 + 8x Solving -2 + -6x = 1 + 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 + -6x + -8x = 1 + 8x + -8x Combine like terms: -6x + -8x = -14x -2 + -14x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -14x = 1 + 0 -2 + -14x = 1 Add '2' to each side of the equation. -2 + 2 + -14x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -14x = 1 + 2 -14x = 1 + 2 Combine like terms: 1 + 2 = 3 -14x = 3 Divide each side by '-14'. x = -0.2142857143 Simplifying x = -0.2142857143
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