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Simplifying 10y + -4(y + 2) + 3x = 5(3 + -1x) Reorder the terms: 10y + -4(2 + y) + 3x = 5(3 + -1x) 10y + (2 * -4 + y * -4) + 3x = 5(3 + -1x) 10y + (-8 + -4y) + 3x = 5(3 + -1x) Reorder the terms: -8 + 3x + 10y + -4y = 5(3 + -1x) Combine like terms: 10y + -4y = 6y -8 + 3x + 6y = 5(3 + -1x) -8 + 3x + 6y = (3 * 5 + -1x * 5) -8 + 3x + 6y = (15 + -5x) Solving -8 + 3x + 6y = 15 + -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. -8 + 3x + 5x + 6y = 15 + -5x + 5x Combine like terms: 3x + 5x = 8x -8 + 8x + 6y = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 -8 + 8x + 6y = 15 + 0 -8 + 8x + 6y = 15 Add '8' to each side of the equation. -8 + 8x + 8 + 6y = 15 + 8 Reorder the terms: -8 + 8 + 8x + 6y = 15 + 8 Combine like terms: -8 + 8 = 0 0 + 8x + 6y = 15 + 8 8x + 6y = 15 + 8 Combine like terms: 15 + 8 = 23 8x + 6y = 23 Add '-6y' to each side of the equation. 8x + 6y + -6y = 23 + -6y Combine like terms: 6y + -6y = 0 8x + 0 = 23 + -6y 8x = 23 + -6y Divide each side by '8'. x = 2.875 + -0.75y Simplifying x = 2.875 + -0.75y
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