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Simplifying 6x + 1 = 2(x + 8) + -5x Reorder the terms: 1 + 6x = 2(x + 8) + -5x Reorder the terms: 1 + 6x = 2(8 + x) + -5x 1 + 6x = (8 * 2 + x * 2) + -5x 1 + 6x = (16 + 2x) + -5x Combine like terms: 2x + -5x = -3x 1 + 6x = 16 + -3x Solving 1 + 6x = 16 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 1 + 6x + 3x = 16 + -3x + 3x Combine like terms: 6x + 3x = 9x 1 + 9x = 16 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 9x = 16 + 0 1 + 9x = 16 Add '-1' to each side of the equation. 1 + -1 + 9x = 16 + -1 Combine like terms: 1 + -1 = 0 0 + 9x = 16 + -1 9x = 16 + -1 Combine like terms: 16 + -1 = 15 9x = 15 Divide each side by '9'. x = 1.666666667 Simplifying x = 1.666666667
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