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Simplifying 5(x + -2) = 3 + -6(x + -7) Reorder the terms: 5(-2 + x) = 3 + -6(x + -7) (-2 * 5 + x * 5) = 3 + -6(x + -7) (-10 + 5x) = 3 + -6(x + -7) Reorder the terms: -10 + 5x = 3 + -6(-7 + x) -10 + 5x = 3 + (-7 * -6 + x * -6) -10 + 5x = 3 + (42 + -6x) Combine like terms: 3 + 42 = 45 -10 + 5x = 45 + -6x Solving -10 + 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. -10 + 5x + 6x = 45 + -6x + 6x Combine like terms: 5x + 6x = 11x -10 + 11x = 45 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + 11x = 45 + 0 -10 + 11x = 45 Add '10' to each side of the equation. -10 + 10 + 11x = 45 + 10 Combine like terms: -10 + 10 = 0 0 + 11x = 45 + 10 11x = 45 + 10 Combine like terms: 45 + 10 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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