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Simplifying 5(x + -2) + -8 = 6x + -1(5k + -3) Reorder the terms: 5(-2 + x) + -8 = 6x + -1(5k + -3) (-2 * 5 + x * 5) + -8 = 6x + -1(5k + -3) (-10 + 5x) + -8 = 6x + -1(5k + -3) Reorder the terms: -10 + -8 + 5x = 6x + -1(5k + -3) Combine like terms: -10 + -8 = -18 -18 + 5x = 6x + -1(5k + -3) Reorder the terms: -18 + 5x = 6x + -1(-3 + 5k) -18 + 5x = 6x + (-3 * -1 + 5k * -1) -18 + 5x = 6x + (3 + -5k) Reorder the terms: -18 + 5x = 3 + -5k + 6x Solving -18 + 5x = 3 + -5k + 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 = 3 + -5k + 6x + -6x Combine like terms: 5x + -6x = -1x -18 + -1x = 3 + -5k + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + -1x = 3 + -5k + 0 -18 + -1x = 3 + -5k Add '18' to each side of the equation. -18 + 18 + -1x = 3 + 18 + -5k Combine like terms: -18 + 18 = 0 0 + -1x = 3 + 18 + -5k -1x = 3 + 18 + -5k Combine like terms: 3 + 18 = 21 -1x = 21 + -5k Divide each side by '-1'. x = -21 + 5k Simplifying x = -21 + 5k
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