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Simplifying (1.1)(30) = (1.5)(x) + (0.9)(30 + -1x) Multiply 1.1 * 30 33 = (1.5)(x) + (0.9)(30 + -1x) 33 = 1.5x + (30 * 0.9 + -1x * 0.9) 33 = 1.5x + (27 + -0.9x) Reorder the terms: 33 = 27 + 1.5x + -0.9x Combine like terms: 1.5x + -0.9x = 0.6x 33 = 27 + 0.6x Solving 33 = 27 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 33 + -0.6x = 27 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 33 + -0.6x = 27 + 0.0 33 + -0.6x = 27 Add '-33' to each side of the equation. 33 + -33 + -0.6x = 27 + -33 Combine like terms: 33 + -33 = 0 0 + -0.6x = 27 + -33 -0.6x = 27 + -33 Combine like terms: 27 + -33 = -6 -0.6x = -6 Divide each side by '-0.6'. x = 10 Simplifying x = 10
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