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Simplifying 4y + -3 + 2x = 3(x + -5) + y Reorder the terms: -3 + 2x + 4y = 3(x + -5) + y Reorder the terms: -3 + 2x + 4y = 3(-5 + x) + y -3 + 2x + 4y = (-5 * 3 + x * 3) + y -3 + 2x + 4y = (-15 + 3x) + y Solving -3 + 2x + 4y = -15 + 3x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + 2x + -3x + 4y = -15 + 3x + -3x + y Combine like terms: 2x + -3x = -1x -3 + -1x + 4y = -15 + 3x + -3x + y Combine like terms: 3x + -3x = 0 -3 + -1x + 4y = -15 + 0 + y -3 + -1x + 4y = -15 + y Add '3' to each side of the equation. -3 + -1x + 3 + 4y = -15 + 3 + y Reorder the terms: -3 + 3 + -1x + 4y = -15 + 3 + y Combine like terms: -3 + 3 = 0 0 + -1x + 4y = -15 + 3 + y -1x + 4y = -15 + 3 + y Combine like terms: -15 + 3 = -12 -1x + 4y = -12 + y Add '-4y' to each side of the equation. -1x + 4y + -4y = -12 + y + -4y Combine like terms: 4y + -4y = 0 -1x + 0 = -12 + y + -4y -1x = -12 + y + -4y Combine like terms: y + -4y = -3y -1x = -12 + -3y Divide each side by '-1'. x = 12 + 3y Simplifying x = 12 + 3y
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