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Simplifying 2 = 6(x + -1) + 1 + -5x Reorder the terms: 2 = 6(-1 + x) + 1 + -5x 2 = (-1 * 6 + x * 6) + 1 + -5x 2 = (-6 + 6x) + 1 + -5x Reorder the terms: 2 = -6 + 1 + 6x + -5x Combine like terms: -6 + 1 = -5 2 = -5 + 6x + -5x Combine like terms: 6x + -5x = 1x 2 = -5 + 1x Solving 2 = -5 + 1x 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. 2 + -1x = -5 + 1x + -1x Combine like terms: 1x + -1x = 0 2 + -1x = -5 + 0 2 + -1x = -5 Add '-2' to each side of the equation. 2 + -2 + -1x = -5 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = -5 + -2 -1x = -5 + -2 Combine like terms: -5 + -2 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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