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Simplifying 4.8(x + 9) = 5.9(x + -2) Reorder the terms: 4.8(9 + x) = 5.9(x + -2) (9 * 4.8 + x * 4.8) = 5.9(x + -2) (43.2 + 4.8x) = 5.9(x + -2) Reorder the terms: 43.2 + 4.8x = 5.9(-2 + x) 43.2 + 4.8x = (-2 * 5.9 + x * 5.9) 43.2 + 4.8x = (-11.8 + 5.9x) Solving 43.2 + 4.8x = -11.8 + 5.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.9x' to each side of the equation. 43.2 + 4.8x + -5.9x = -11.8 + 5.9x + -5.9x Combine like terms: 4.8x + -5.9x = -1.1x 43.2 + -1.1x = -11.8 + 5.9x + -5.9x Combine like terms: 5.9x + -5.9x = 0.0 43.2 + -1.1x = -11.8 + 0.0 43.2 + -1.1x = -11.8 Add '-43.2' to each side of the equation. 43.2 + -43.2 + -1.1x = -11.8 + -43.2 Combine like terms: 43.2 + -43.2 = 0.0 0.0 + -1.1x = -11.8 + -43.2 -1.1x = -11.8 + -43.2 Combine like terms: -11.8 + -43.2 = -55 -1.1x = -55 Divide each side by '-1.1'. x = 50 Simplifying x = 50
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