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Simplifying -1(6x + 2) + -1(18x + -3) = 8 + -1(5x + 1) Reorder the terms: -1(2 + 6x) + -1(18x + -3) = 8 + -1(5x + 1) (2 * -1 + 6x * -1) + -1(18x + -3) = 8 + -1(5x + 1) (-2 + -6x) + -1(18x + -3) = 8 + -1(5x + 1) Reorder the terms: -2 + -6x + -1(-3 + 18x) = 8 + -1(5x + 1) -2 + -6x + (-3 * -1 + 18x * -1) = 8 + -1(5x + 1) -2 + -6x + (3 + -18x) = 8 + -1(5x + 1) Reorder the terms: -2 + 3 + -6x + -18x = 8 + -1(5x + 1) Combine like terms: -2 + 3 = 1 1 + -6x + -18x = 8 + -1(5x + 1) Combine like terms: -6x + -18x = -24x 1 + -24x = 8 + -1(5x + 1) Reorder the terms: 1 + -24x = 8 + -1(1 + 5x) 1 + -24x = 8 + (1 * -1 + 5x * -1) 1 + -24x = 8 + (-1 + -5x) Combine like terms: 8 + -1 = 7 1 + -24x = 7 + -5x Solving 1 + -24x = 7 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 1 + -24x + 5x = 7 + -5x + 5x Combine like terms: -24x + 5x = -19x 1 + -19x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 1 + -19x = 7 + 0 1 + -19x = 7 Add '-1' to each side of the equation. 1 + -1 + -19x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -19x = 7 + -1 -19x = 7 + -1 Combine like terms: 7 + -1 = 6 -19x = 6 Divide each side by '-19'. x = -0.3157894737 Simplifying x = -0.3157894737
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