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Simplifying 2x + 7 + -6(x + 1) = 5x + 8 Reorder the terms: 2x + 7 + -6(1 + x) = 5x + 8 2x + 7 + (1 * -6 + x * -6) = 5x + 8 2x + 7 + (-6 + -6x) = 5x + 8 Reorder the terms: 7 + -6 + 2x + -6x = 5x + 8 Combine like terms: 7 + -6 = 1 1 + 2x + -6x = 5x + 8 Combine like terms: 2x + -6x = -4x 1 + -4x = 5x + 8 Reorder the terms: 1 + -4x = 8 + 5x Solving 1 + -4x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + -4x + -5x = 8 + 5x + -5x Combine like terms: -4x + -5x = -9x 1 + -9x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -9x = 8 + 0 1 + -9x = 8 Add '-1' to each side of the equation. 1 + -1 + -9x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + -9x = 8 + -1 -9x = 8 + -1 Combine like terms: 8 + -1 = 7 -9x = 7 Divide each side by '-9'. x = -0.7777777778 Simplifying x = -0.7777777778
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