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Simplifying 11 + -2(x + 2) = 7(x + 4) + -9 Reorder the terms: 11 + -2(2 + x) = 7(x + 4) + -9 11 + (2 * -2 + x * -2) = 7(x + 4) + -9 11 + (-4 + -2x) = 7(x + 4) + -9 Combine like terms: 11 + -4 = 7 7 + -2x = 7(x + 4) + -9 Reorder the terms: 7 + -2x = 7(4 + x) + -9 7 + -2x = (4 * 7 + x * 7) + -9 7 + -2x = (28 + 7x) + -9 Reorder the terms: 7 + -2x = 28 + -9 + 7x Combine like terms: 28 + -9 = 19 7 + -2x = 19 + 7x Solving 7 + -2x = 19 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 7 + -2x + -7x = 19 + 7x + -7x Combine like terms: -2x + -7x = -9x 7 + -9x = 19 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + -9x = 19 + 0 7 + -9x = 19 Add '-7' to each side of the equation. 7 + -7 + -9x = 19 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = 19 + -7 -9x = 19 + -7 Combine like terms: 19 + -7 = 12 -9x = 12 Divide each side by '-9'. x = -1.333333333 Simplifying x = -1.333333333
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