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Simplifying 6x + -1(5x + 5) = 8 + -2(x + 12) Reorder the terms: 6x + -1(5 + 5x) = 8 + -2(x + 12) 6x + (5 * -1 + 5x * -1) = 8 + -2(x + 12) 6x + (-5 + -5x) = 8 + -2(x + 12) Reorder the terms: -5 + 6x + -5x = 8 + -2(x + 12) Combine like terms: 6x + -5x = 1x -5 + 1x = 8 + -2(x + 12) Reorder the terms: -5 + 1x = 8 + -2(12 + x) -5 + 1x = 8 + (12 * -2 + x * -2) -5 + 1x = 8 + (-24 + -2x) Combine like terms: 8 + -24 = -16 -5 + 1x = -16 + -2x Solving -5 + 1x = -16 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -5 + 1x + 2x = -16 + -2x + 2x Combine like terms: 1x + 2x = 3x -5 + 3x = -16 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 3x = -16 + 0 -5 + 3x = -16 Add '5' to each side of the equation. -5 + 5 + 3x = -16 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = -16 + 5 3x = -16 + 5 Combine like terms: -16 + 5 = -11 3x = -11 Divide each side by '3'. x = -3.666666667 Simplifying x = -3.666666667
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