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Simplifying 4x + -6(x + 5) = 10x + 3(-8x + -1y) Reorder the terms: 4x + -6(5 + x) = 10x + 3(-8x + -1y) 4x + (5 * -6 + x * -6) = 10x + 3(-8x + -1y) 4x + (-30 + -6x) = 10x + 3(-8x + -1y) Reorder the terms: -30 + 4x + -6x = 10x + 3(-8x + -1y) Combine like terms: 4x + -6x = -2x -30 + -2x = 10x + 3(-8x + -1y) -30 + -2x = 10x + (-8x * 3 + -1y * 3) -30 + -2x = 10x + (-24x + -3y) Combine like terms: 10x + -24x = -14x -30 + -2x = -14x + -3y Solving -30 + -2x = -14x + -3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -30 + -2x + 14x = -14x + 14x + -3y Combine like terms: -2x + 14x = 12x -30 + 12x = -14x + 14x + -3y Combine like terms: -14x + 14x = 0 -30 + 12x = 0 + -3y -30 + 12x = -3y Add '30' to each side of the equation. -30 + 30 + 12x = 30 + -3y Combine like terms: -30 + 30 = 0 0 + 12x = 30 + -3y 12x = 30 + -3y Divide each side by '12'. x = 2.5 + -0.25y Simplifying x = 2.5 + -0.25y
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