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Simplifying 19 + -1(5x + 1) = 8x + 40 + -2x Reorder the terms: 19 + -1(1 + 5x) = 8x + 40 + -2x 19 + (1 * -1 + 5x * -1) = 8x + 40 + -2x 19 + (-1 + -5x) = 8x + 40 + -2x Combine like terms: 19 + -1 = 18 18 + -5x = 8x + 40 + -2x Reorder the terms: 18 + -5x = 40 + 8x + -2x Combine like terms: 8x + -2x = 6x 18 + -5x = 40 + 6x Solving 18 + -5x = 40 + 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. 18 + -5x + -6x = 40 + 6x + -6x Combine like terms: -5x + -6x = -11x 18 + -11x = 40 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + -11x = 40 + 0 18 + -11x = 40 Add '-18' to each side of the equation. 18 + -18 + -11x = 40 + -18 Combine like terms: 18 + -18 = 0 0 + -11x = 40 + -18 -11x = 40 + -18 Combine like terms: 40 + -18 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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