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Simplifying 6x + 1 + -7x = 7(x + 6) Reorder the terms: 1 + 6x + -7x = 7(x + 6) Combine like terms: 6x + -7x = -1x 1 + -1x = 7(x + 6) Reorder the terms: 1 + -1x = 7(6 + x) 1 + -1x = (6 * 7 + x * 7) 1 + -1x = (42 + 7x) Solving 1 + -1x = 42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 1 + -1x + -7x = 42 + 7x + -7x Combine like terms: -1x + -7x = -8x 1 + -8x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -8x = 42 + 0 1 + -8x = 42 Add '-1' to each side of the equation. 1 + -1 + -8x = 42 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = 42 + -1 -8x = 42 + -1 Combine like terms: 42 + -1 = 41 -8x = 41 Divide each side by '-8'. x = -5.125 Simplifying x = -5.125
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