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Simplifying -6 + 6x + 7 = (x + 1) + -2 Reorder the terms: -6 + 7 + 6x = (x + 1) + -2 Combine like terms: -6 + 7 = 1 1 + 6x = (x + 1) + -2 Reorder the terms: 1 + 6x = (1 + x) + -2 Remove parenthesis around (1 + x) 1 + 6x = 1 + x + -2 Reorder the terms: 1 + 6x = 1 + -2 + x Combine like terms: 1 + -2 = -1 1 + 6x = -1 + x Solving 1 + 6x = -1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + 6x + -1x = -1 + x + -1x Combine like terms: 6x + -1x = 5x 1 + 5x = -1 + x + -1x Combine like terms: x + -1x = 0 1 + 5x = -1 + 0 1 + 5x = -1 Add '-1' to each side of the equation. 1 + -1 + 5x = -1 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = -1 + -1 5x = -1 + -1 Combine like terms: -1 + -1 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4
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