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Simplifying 0.21(12) = 0.15x(12) + 0.25y(12) Multiply 0.21 * 12 2.52 = 0.15x(12) + 0.25y(12) Reorder the terms for easier multiplication: 2.52 = 0.15 * 12x + 0.25y(12) Multiply 0.15 * 12 2.52 = 1.8x + 0.25y(12) Reorder the terms for easier multiplication: 2.52 = 1.8x + 0.25 * 12y Multiply 0.25 * 12 2.52 = 1.8x + 3y Solving 2.52 = 1.8x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.8x' to each side of the equation. 2.52 + -1.8x = 1.8x + -1.8x + 3y Combine like terms: 1.8x + -1.8x = 0.0 2.52 + -1.8x = 0.0 + 3y 2.52 + -1.8x = 3y Add '-2.52' to each side of the equation. 2.52 + -2.52 + -1.8x = -2.52 + 3y Combine like terms: 2.52 + -2.52 = 0.00 0.00 + -1.8x = -2.52 + 3y -1.8x = -2.52 + 3y Divide each side by '-1.8'. x = 1.4 + -1.666666667y Simplifying x = 1.4 + -1.666666667y
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