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Simplifying 5 + 6(x + -6) = 10 + -3(x + -7) Reorder the terms: 5 + 6(-6 + x) = 10 + -3(x + -7) 5 + (-6 * 6 + x * 6) = 10 + -3(x + -7) 5 + (-36 + 6x) = 10 + -3(x + -7) Combine like terms: 5 + -36 = -31 -31 + 6x = 10 + -3(x + -7) Reorder the terms: -31 + 6x = 10 + -3(-7 + x) -31 + 6x = 10 + (-7 * -3 + x * -3) -31 + 6x = 10 + (21 + -3x) Combine like terms: 10 + 21 = 31 -31 + 6x = 31 + -3x Solving -31 + 6x = 31 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -31 + 6x + 3x = 31 + -3x + 3x Combine like terms: 6x + 3x = 9x -31 + 9x = 31 + -3x + 3x Combine like terms: -3x + 3x = 0 -31 + 9x = 31 + 0 -31 + 9x = 31 Add '31' to each side of the equation. -31 + 31 + 9x = 31 + 31 Combine like terms: -31 + 31 = 0 0 + 9x = 31 + 31 9x = 31 + 31 Combine like terms: 31 + 31 = 62 9x = 62 Divide each side by '9'. x = 6.888888889 Simplifying x = 6.888888889
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