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Simplifying -3(x + -1) + 8(x + -3) = 6y + 7 + -5x Reorder the terms: -3(-1 + x) + 8(x + -3) = 6y + 7 + -5x (-1 * -3 + x * -3) + 8(x + -3) = 6y + 7 + -5x (3 + -3x) + 8(x + -3) = 6y + 7 + -5x Reorder the terms: 3 + -3x + 8(-3 + x) = 6y + 7 + -5x 3 + -3x + (-3 * 8 + x * 8) = 6y + 7 + -5x 3 + -3x + (-24 + 8x) = 6y + 7 + -5x Reorder the terms: 3 + -24 + -3x + 8x = 6y + 7 + -5x Combine like terms: 3 + -24 = -21 -21 + -3x + 8x = 6y + 7 + -5x Combine like terms: -3x + 8x = 5x -21 + 5x = 6y + 7 + -5x Reorder the terms: -21 + 5x = 7 + -5x + 6y Solving -21 + 5x = 7 + -5x + 6y 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. -21 + 5x + 5x = 7 + -5x + 5x + 6y Combine like terms: 5x + 5x = 10x -21 + 10x = 7 + -5x + 5x + 6y Combine like terms: -5x + 5x = 0 -21 + 10x = 7 + 0 + 6y -21 + 10x = 7 + 6y Add '21' to each side of the equation. -21 + 21 + 10x = 7 + 21 + 6y Combine like terms: -21 + 21 = 0 0 + 10x = 7 + 21 + 6y 10x = 7 + 21 + 6y Combine like terms: 7 + 21 = 28 10x = 28 + 6y Divide each side by '10'. x = 2.8 + 0.6y Simplifying x = 2.8 + 0.6y
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