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Simplifying 6x + 5 = 4x + -2 + 8x + 21 Reorder the terms: 5 + 6x = 4x + -2 + 8x + 21 Reorder the terms: 5 + 6x = -2 + 21 + 4x + 8x Combine like terms: -2 + 21 = 19 5 + 6x = 19 + 4x + 8x Combine like terms: 4x + 8x = 12x 5 + 6x = 19 + 12x Solving 5 + 6x = 19 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 5 + 6x + -12x = 19 + 12x + -12x Combine like terms: 6x + -12x = -6x 5 + -6x = 19 + 12x + -12x Combine like terms: 12x + -12x = 0 5 + -6x = 19 + 0 5 + -6x = 19 Add '-5' to each side of the equation. 5 + -5 + -6x = 19 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 19 + -5 -6x = 19 + -5 Combine like terms: 19 + -5 = 14 -6x = 14 Divide each side by '-6'. x = -2.333333333 Simplifying x = -2.333333333
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