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Simplifying 4 + 7(x + -2) = 9 + -9(x + -7) Reorder the terms: 4 + 7(-2 + x) = 9 + -9(x + -7) 4 + (-2 * 7 + x * 7) = 9 + -9(x + -7) 4 + (-14 + 7x) = 9 + -9(x + -7) Combine like terms: 4 + -14 = -10 -10 + 7x = 9 + -9(x + -7) Reorder the terms: -10 + 7x = 9 + -9(-7 + x) -10 + 7x = 9 + (-7 * -9 + x * -9) -10 + 7x = 9 + (63 + -9x) Combine like terms: 9 + 63 = 72 -10 + 7x = 72 + -9x Solving -10 + 7x = 72 + -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 + 7x + 9x = 72 + -9x + 9x Combine like terms: 7x + 9x = 16x -10 + 16x = 72 + -9x + 9x Combine like terms: -9x + 9x = 0 -10 + 16x = 72 + 0 -10 + 16x = 72 Add '10' to each side of the equation. -10 + 10 + 16x = 72 + 10 Combine like terms: -10 + 10 = 0 0 + 16x = 72 + 10 16x = 72 + 10 Combine like terms: 72 + 10 = 82 16x = 82 Divide each side by '16'. x = 5.125 Simplifying x = 5.125
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