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Simplifying -2 + -13.8x = -8 + -1(6x + -1) Reorder the terms: -2 + -13.8x = -8 + -1(-1 + 6x) -2 + -13.8x = -8 + (-1 * -1 + 6x * -1) -2 + -13.8x = -8 + (1 + -6x) Combine like terms: -8 + 1 = -7 -2 + -13.8x = -7 + -6x Solving -2 + -13.8x = -7 + -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. -2 + -13.8x + 6x = -7 + -6x + 6x Combine like terms: -13.8x + 6x = -7.8x -2 + -7.8x = -7 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + -7.8x = -7 + 0 -2 + -7.8x = -7 Add '2' to each side of the equation. -2 + 2 + -7.8x = -7 + 2 Combine like terms: -2 + 2 = 0 0 + -7.8x = -7 + 2 -7.8x = -7 + 2 Combine like terms: -7 + 2 = -5 -7.8x = -5 Divide each side by '-7.8'. x = 0.641025641 Simplifying x = 0.641025641
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