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Simplifying 6x + 7(x + -2) = 2(x + -5) + -11 Reorder the terms: 6x + 7(-2 + x) = 2(x + -5) + -11 6x + (-2 * 7 + x * 7) = 2(x + -5) + -11 6x + (-14 + 7x) = 2(x + -5) + -11 Reorder the terms: -14 + 6x + 7x = 2(x + -5) + -11 Combine like terms: 6x + 7x = 13x -14 + 13x = 2(x + -5) + -11 Reorder the terms: -14 + 13x = 2(-5 + x) + -11 -14 + 13x = (-5 * 2 + x * 2) + -11 -14 + 13x = (-10 + 2x) + -11 Reorder the terms: -14 + 13x = -10 + -11 + 2x Combine like terms: -10 + -11 = -21 -14 + 13x = -21 + 2x Solving -14 + 13x = -21 + 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. -14 + 13x + -2x = -21 + 2x + -2x Combine like terms: 13x + -2x = 11x -14 + 11x = -21 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 11x = -21 + 0 -14 + 11x = -21 Add '14' to each side of the equation. -14 + 14 + 11x = -21 + 14 Combine like terms: -14 + 14 = 0 0 + 11x = -21 + 14 11x = -21 + 14 Combine like terms: -21 + 14 = -7 11x = -7 Divide each side by '11'. x = -0.6363636364 Simplifying x = -0.6363636364
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