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Simplifying -0.75(16 + -4x) = 0.11(18 + -27x) (16 * -0.75 + -4x * -0.75) = 0.11(18 + -27x) (-12 + 3x) = 0.11(18 + -27x) -12 + 3x = (18 * 0.11 + -27x * 0.11) -12 + 3x = (1.98 + -2.97x) Solving -12 + 3x = 1.98 + -2.97x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.97x' to each side of the equation. -12 + 3x + 2.97x = 1.98 + -2.97x + 2.97x Combine like terms: 3x + 2.97x = 5.97x -12 + 5.97x = 1.98 + -2.97x + 2.97x Combine like terms: -2.97x + 2.97x = 0.00 -12 + 5.97x = 1.98 + 0.00 -12 + 5.97x = 1.98 Add '12' to each side of the equation. -12 + 12 + 5.97x = 1.98 + 12 Combine like terms: -12 + 12 = 0 0 + 5.97x = 1.98 + 12 5.97x = 1.98 + 12 Combine like terms: 1.98 + 12 = 13.98 5.97x = 13.98 Divide each side by '5.97'. x = 2.341708543 Simplifying x = 2.341708543
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