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Simplifying 6x + 1 = 5(x + -2) + -8 Reorder the terms: 1 + 6x = 5(x + -2) + -8 Reorder the terms: 1 + 6x = 5(-2 + x) + -8 1 + 6x = (-2 * 5 + x * 5) + -8 1 + 6x = (-10 + 5x) + -8 Reorder the terms: 1 + 6x = -10 + -8 + 5x Combine like terms: -10 + -8 = -18 1 + 6x = -18 + 5x Solving 1 + 6x = -18 + 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 + 6x + -5x = -18 + 5x + -5x Combine like terms: 6x + -5x = 1x 1 + 1x = -18 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + 1x = -18 + 0 1 + 1x = -18 Add '-1' to each side of the equation. 1 + -1 + 1x = -18 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = -18 + -1 1x = -18 + -1 Combine like terms: -18 + -1 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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