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Simplifying 1 + 5(x + -2) = 3 + -6(x + -7) Reorder the terms: 1 + 5(-2 + x) = 3 + -6(x + -7) 1 + (-2 * 5 + x * 5) = 3 + -6(x + -7) 1 + (-10 + 5x) = 3 + -6(x + -7) Combine like terms: 1 + -10 = -9 -9 + 5x = 3 + -6(x + -7) Reorder the terms: -9 + 5x = 3 + -6(-7 + x) -9 + 5x = 3 + (-7 * -6 + x * -6) -9 + 5x = 3 + (42 + -6x) Combine like terms: 3 + 42 = 45 -9 + 5x = 45 + -6x Solving -9 + 5x = 45 + -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. -9 + 5x + 6x = 45 + -6x + 6x Combine like terms: 5x + 6x = 11x -9 + 11x = 45 + -6x + 6x Combine like terms: -6x + 6x = 0 -9 + 11x = 45 + 0 -9 + 11x = 45 Add '9' to each side of the equation. -9 + 9 + 11x = 45 + 9 Combine like terms: -9 + 9 = 0 0 + 11x = 45 + 9 11x = 45 + 9 Combine like terms: 45 + 9 = 54 11x = 54 Divide each side by '11'. x = 4.909090909 Simplifying x = 4.909090909
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