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Simplifying (-2) + -13.8x = -8x + -1(6x + 1) -2 + -13.8x = -8x + -1(6x + 1) Reorder the terms: -2 + -13.8x = -8x + -1(1 + 6x) -2 + -13.8x = -8x + (1 * -1 + 6x * -1) -2 + -13.8x = -8x + (-1 + -6x) Reorder the terms: -2 + -13.8x = -1 + -8x + -6x Combine like terms: -8x + -6x = -14x -2 + -13.8x = -1 + -14x Solving -2 + -13.8x = -1 + -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. -2 + -13.8x + 14x = -1 + -14x + 14x Combine like terms: -13.8x + 14x = 0.2x -2 + 0.2x = -1 + -14x + 14x Combine like terms: -14x + 14x = 0 -2 + 0.2x = -1 + 0 -2 + 0.2x = -1 Add '2' to each side of the equation. -2 + 2 + 0.2x = -1 + 2 Combine like terms: -2 + 2 = 0 0 + 0.2x = -1 + 2 0.2x = -1 + 2 Combine like terms: -1 + 2 = 1 0.2x = 1 Divide each side by '0.2'. x = 5 Simplifying x = 5
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