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Simplifying 6 + 5x + -2 = 8x + 19 + -6x Reorder the terms: 6 + -2 + 5x = 8x + 19 + -6x Combine like terms: 6 + -2 = 4 4 + 5x = 8x + 19 + -6x Reorder the terms: 4 + 5x = 19 + 8x + -6x Combine like terms: 8x + -6x = 2x 4 + 5x = 19 + 2x Solving 4 + 5x = 19 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + 5x + -2x = 19 + 2x + -2x Combine like terms: 5x + -2x = 3x 4 + 3x = 19 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 3x = 19 + 0 4 + 3x = 19 Add '-4' to each side of the equation. 4 + -4 + 3x = 19 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 19 + -4 3x = 19 + -4 Combine like terms: 19 + -4 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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