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Simplifying 6x + 1 + 2x = 12x + 3 + -2x + -19 Reorder the terms: 1 + 6x + 2x = 12x + 3 + -2x + -19 Combine like terms: 6x + 2x = 8x 1 + 8x = 12x + 3 + -2x + -19 Reorder the terms: 1 + 8x = 3 + -19 + 12x + -2x Combine like terms: 3 + -19 = -16 1 + 8x = -16 + 12x + -2x Combine like terms: 12x + -2x = 10x 1 + 8x = -16 + 10x Solving 1 + 8x = -16 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 1 + 8x + -10x = -16 + 10x + -10x Combine like terms: 8x + -10x = -2x 1 + -2x = -16 + 10x + -10x Combine like terms: 10x + -10x = 0 1 + -2x = -16 + 0 1 + -2x = -16 Add '-1' to each side of the equation. 1 + -1 + -2x = -16 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = -16 + -1 -2x = -16 + -1 Combine like terms: -16 + -1 = -17 -2x = -17 Divide each side by '-2'. x = 8.5 Simplifying x = 8.5
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