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Simplifying 4(x + -2) + 7x = 9(x + -2) Reorder the terms: 4(-2 + x) + 7x = 9(x + -2) (-2 * 4 + x * 4) + 7x = 9(x + -2) (-8 + 4x) + 7x = 9(x + -2) Combine like terms: 4x + 7x = 11x -8 + 11x = 9(x + -2) Reorder the terms: -8 + 11x = 9(-2 + x) -8 + 11x = (-2 * 9 + x * 9) -8 + 11x = (-18 + 9x) Solving -8 + 11x = -18 + 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. -8 + 11x + -9x = -18 + 9x + -9x Combine like terms: 11x + -9x = 2x -8 + 2x = -18 + 9x + -9x Combine like terms: 9x + -9x = 0 -8 + 2x = -18 + 0 -8 + 2x = -18 Add '8' to each side of the equation. -8 + 8 + 2x = -18 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -18 + 8 2x = -18 + 8 Combine like terms: -18 + 8 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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