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Simplifying 6x + 1 = 8x + x + 13 Reorder the terms: 1 + 6x = 8x + x + 13 Reorder the terms: 1 + 6x = 13 + 8x + x Combine like terms: 8x + x = 9x 1 + 6x = 13 + 9x Solving 1 + 6x = 13 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 1 + 6x + -9x = 13 + 9x + -9x Combine like terms: 6x + -9x = -3x 1 + -3x = 13 + 9x + -9x Combine like terms: 9x + -9x = 0 1 + -3x = 13 + 0 1 + -3x = 13 Add '-1' to each side of the equation. 1 + -1 + -3x = 13 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 13 + -1 -3x = 13 + -1 Combine like terms: 13 + -1 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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