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Simplifying 3(2x + -3) + -1(0.5y + 2) = 5x Reorder the terms: 3(-3 + 2x) + -1(0.5y + 2) = 5x (-3 * 3 + 2x * 3) + -1(0.5y + 2) = 5x (-9 + 6x) + -1(0.5y + 2) = 5x Reorder the terms: -9 + 6x + -1(2 + 0.5y) = 5x -9 + 6x + (2 * -1 + 0.5y * -1) = 5x -9 + 6x + (-2 + -0.5y) = 5x Reorder the terms: -9 + -2 + 6x + -0.5y = 5x Combine like terms: -9 + -2 = -11 -11 + 6x + -0.5y = 5x Solving -11 + 6x + -0.5y = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -11 + 6x + -5x + -0.5y = 5x + -5x Combine like terms: 6x + -5x = 1x -11 + 1x + -0.5y = 5x + -5x Combine like terms: 5x + -5x = 0 -11 + 1x + -0.5y = 0 Add '11' to each side of the equation. -11 + 1x + 11 + -0.5y = 0 + 11 Reorder the terms: -11 + 11 + 1x + -0.5y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 1x + -0.5y = 0 + 11 1x + -0.5y = 0 + 11 Combine like terms: 0 + 11 = 11 1x + -0.5y = 11 Add '0.5y' to each side of the equation. 1x + -0.5y + 0.5y = 11 + 0.5y Combine like terms: -0.5y + 0.5y = 0.0 1x + 0.0 = 11 + 0.5y 1x = 11 + 0.5y Divide each side by '1'. x = 11 + 0.5y Simplifying x = 11 + 0.5y
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