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Simplifying 0.3x + 0.4(33 + -1x) = 11.4 0.3x + (33 * 0.4 + -1x * 0.4) = 11.4 0.3x + (13.2 + -0.4x) = 11.4 Reorder the terms: 13.2 + 0.3x + -0.4x = 11.4 Combine like terms: 0.3x + -0.4x = -0.1x 13.2 + -0.1x = 11.4 Solving 13.2 + -0.1x = 11.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13.2' to each side of the equation. 13.2 + -13.2 + -0.1x = 11.4 + -13.2 Combine like terms: 13.2 + -13.2 = 0.0 0.0 + -0.1x = 11.4 + -13.2 -0.1x = 11.4 + -13.2 Combine like terms: 11.4 + -13.2 = -1.8 -0.1x = -1.8 Divide each side by '-0.1'. x = 18 Simplifying x = 18
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