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Simplifying -6x + 7 + -5(x + 1) = -2x + 4 Reorder the terms: -6x + 7 + -5(1 + x) = -2x + 4 -6x + 7 + (1 * -5 + x * -5) = -2x + 4 -6x + 7 + (-5 + -5x) = -2x + 4 Reorder the terms: 7 + -5 + -6x + -5x = -2x + 4 Combine like terms: 7 + -5 = 2 2 + -6x + -5x = -2x + 4 Combine like terms: -6x + -5x = -11x 2 + -11x = -2x + 4 Reorder the terms: 2 + -11x = 4 + -2x Solving 2 + -11x = 4 + -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. 2 + -11x + 2x = 4 + -2x + 2x Combine like terms: -11x + 2x = -9x 2 + -9x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + -9x = 4 + 0 2 + -9x = 4 Add '-2' to each side of the equation. 2 + -2 + -9x = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = 4 + -2 -9x = 4 + -2 Combine like terms: 4 + -2 = 2 -9x = 2 Divide each side by '-9'. x = -0.2222222222 Simplifying x = -0.2222222222
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