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Simplifying 4(x + 2) + -3(2x + 5) = x + 8 + y Reorder the terms: 4(2 + x) + -3(2x + 5) = x + 8 + y (2 * 4 + x * 4) + -3(2x + 5) = x + 8 + y (8 + 4x) + -3(2x + 5) = x + 8 + y Reorder the terms: 8 + 4x + -3(5 + 2x) = x + 8 + y 8 + 4x + (5 * -3 + 2x * -3) = x + 8 + y 8 + 4x + (-15 + -6x) = x + 8 + y Reorder the terms: 8 + -15 + 4x + -6x = x + 8 + y Combine like terms: 8 + -15 = -7 -7 + 4x + -6x = x + 8 + y Combine like terms: 4x + -6x = -2x -7 + -2x = x + 8 + y Reorder the terms: -7 + -2x = 8 + x + y Solving -7 + -2x = 8 + x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7 + -2x + -1x = 8 + x + -1x + y Combine like terms: -2x + -1x = -3x -7 + -3x = 8 + x + -1x + y Combine like terms: x + -1x = 0 -7 + -3x = 8 + 0 + y -7 + -3x = 8 + y Add '7' to each side of the equation. -7 + 7 + -3x = 8 + 7 + y Combine like terms: -7 + 7 = 0 0 + -3x = 8 + 7 + y -3x = 8 + 7 + y Combine like terms: 8 + 7 = 15 -3x = 15 + y Divide each side by '-3'. x = -5 + -0.3333333333y Simplifying x = -5 + -0.3333333333y
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