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Simplifying 4(x + 4) = 9(x + -2) Reorder the terms: 4(4 + x) = 9(x + -2) (4 * 4 + x * 4) = 9(x + -2) (16 + 4x) = 9(x + -2) Reorder the terms: 16 + 4x = 9(-2 + x) 16 + 4x = (-2 * 9 + x * 9) 16 + 4x = (-18 + 9x) Solving 16 + 4x = -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. 16 + 4x + -9x = -18 + 9x + -9x Combine like terms: 4x + -9x = -5x 16 + -5x = -18 + 9x + -9x Combine like terms: 9x + -9x = 0 16 + -5x = -18 + 0 16 + -5x = -18 Add '-16' to each side of the equation. 16 + -16 + -5x = -18 + -16 Combine like terms: 16 + -16 = 0 0 + -5x = -18 + -16 -5x = -18 + -16 Combine like terms: -18 + -16 = -34 -5x = -34 Divide each side by '-5'. x = 6.8 Simplifying x = 6.8
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