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Simplifying 6x + 1 = 9 + (3x + 7) + -1(x + 5) Reorder the terms: 1 + 6x = 9 + (3x + 7) + -1(x + 5) Reorder the terms: 1 + 6x = 9 + (7 + 3x) + -1(x + 5) Remove parenthesis around (7 + 3x) 1 + 6x = 9 + 7 + 3x + -1(x + 5) Reorder the terms: 1 + 6x = 9 + 7 + 3x + -1(5 + x) 1 + 6x = 9 + 7 + 3x + (5 * -1 + x * -1) 1 + 6x = 9 + 7 + 3x + (-5 + -1x) Reorder the terms: 1 + 6x = 9 + 7 + -5 + 3x + -1x Combine like terms: 9 + 7 = 16 1 + 6x = 16 + -5 + 3x + -1x Combine like terms: 16 + -5 = 11 1 + 6x = 11 + 3x + -1x Combine like terms: 3x + -1x = 2x 1 + 6x = 11 + 2x Solving 1 + 6x = 11 + 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. 1 + 6x + -2x = 11 + 2x + -2x Combine like terms: 6x + -2x = 4x 1 + 4x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 4x = 11 + 0 1 + 4x = 11 Add '-1' to each side of the equation. 1 + -1 + 4x = 11 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 11 + -1 4x = 11 + -1 Combine like terms: 11 + -1 = 10 4x = 10 Divide each side by '4'. x = 2.5 Simplifying x = 2.5
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