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Simplifying -7x + 6 + -5(x + 1) = 6x + 5 Reorder the terms: -7x + 6 + -5(1 + x) = 6x + 5 -7x + 6 + (1 * -5 + x * -5) = 6x + 5 -7x + 6 + (-5 + -5x) = 6x + 5 Reorder the terms: 6 + -5 + -7x + -5x = 6x + 5 Combine like terms: 6 + -5 = 1 1 + -7x + -5x = 6x + 5 Combine like terms: -7x + -5x = -12x 1 + -12x = 6x + 5 Reorder the terms: 1 + -12x = 5 + 6x Solving 1 + -12x = 5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1 + -12x + -6x = 5 + 6x + -6x Combine like terms: -12x + -6x = -18x 1 + -18x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -18x = 5 + 0 1 + -18x = 5 Add '-1' to each side of the equation. 1 + -1 + -18x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -18x = 5 + -1 -18x = 5 + -1 Combine like terms: 5 + -1 = 4 -18x = 4 Divide each side by '-18'. x = -0.2222222222 Simplifying x = -0.2222222222
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