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Simplifying 8 + -1(x + 2) = 6(x + -4) Reorder the terms: 8 + -1(2 + x) = 6(x + -4) 8 + (2 * -1 + x * -1) = 6(x + -4) 8 + (-2 + -1x) = 6(x + -4) Combine like terms: 8 + -2 = 6 6 + -1x = 6(x + -4) Reorder the terms: 6 + -1x = 6(-4 + x) 6 + -1x = (-4 * 6 + x * 6) 6 + -1x = (-24 + 6x) Solving 6 + -1x = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + -1x + -6x = -24 + 6x + -6x Combine like terms: -1x + -6x = -7x 6 + -7x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -7x = -24 + 0 6 + -7x = -24 Add '-6' to each side of the equation. 6 + -6 + -7x = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = -24 + -6 -7x = -24 + -6 Combine like terms: -24 + -6 = -30 -7x = -30 Divide each side by '-7'. x = 4.285714286 Simplifying x = 4.285714286
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