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Simplifying 2 + 2(x + -6) = 7 + -9(x + -3) Reorder the terms: 2 + 2(-6 + x) = 7 + -9(x + -3) 2 + (-6 * 2 + x * 2) = 7 + -9(x + -3) 2 + (-12 + 2x) = 7 + -9(x + -3) Combine like terms: 2 + -12 = -10 -10 + 2x = 7 + -9(x + -3) Reorder the terms: -10 + 2x = 7 + -9(-3 + x) -10 + 2x = 7 + (-3 * -9 + x * -9) -10 + 2x = 7 + (27 + -9x) Combine like terms: 7 + 27 = 34 -10 + 2x = 34 + -9x Solving -10 + 2x = 34 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -10 + 2x + 9x = 34 + -9x + 9x Combine like terms: 2x + 9x = 11x -10 + 11x = 34 + -9x + 9x Combine like terms: -9x + 9x = 0 -10 + 11x = 34 + 0 -10 + 11x = 34 Add '10' to each side of the equation. -10 + 10 + 11x = 34 + 10 Combine like terms: -10 + 10 = 0 0 + 11x = 34 + 10 11x = 34 + 10 Combine like terms: 34 + 10 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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