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Simplifying 6(3x + 4y + -5) = 5(4x + 3y + 1) Reorder the terms: 6(-5 + 3x + 4y) = 5(4x + 3y + 1) (-5 * 6 + 3x * 6 + 4y * 6) = 5(4x + 3y + 1) (-30 + 18x + 24y) = 5(4x + 3y + 1) Reorder the terms: -30 + 18x + 24y = 5(1 + 4x + 3y) -30 + 18x + 24y = (1 * 5 + 4x * 5 + 3y * 5) -30 + 18x + 24y = (5 + 20x + 15y) Solving -30 + 18x + 24y = 5 + 20x + 15y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -30 + 18x + -20x + 24y = 5 + 20x + -20x + 15y Combine like terms: 18x + -20x = -2x -30 + -2x + 24y = 5 + 20x + -20x + 15y Combine like terms: 20x + -20x = 0 -30 + -2x + 24y = 5 + 0 + 15y -30 + -2x + 24y = 5 + 15y Add '30' to each side of the equation. -30 + -2x + 30 + 24y = 5 + 30 + 15y Reorder the terms: -30 + 30 + -2x + 24y = 5 + 30 + 15y Combine like terms: -30 + 30 = 0 0 + -2x + 24y = 5 + 30 + 15y -2x + 24y = 5 + 30 + 15y Combine like terms: 5 + 30 = 35 -2x + 24y = 35 + 15y Add '-24y' to each side of the equation. -2x + 24y + -24y = 35 + 15y + -24y Combine like terms: 24y + -24y = 0 -2x + 0 = 35 + 15y + -24y -2x = 35 + 15y + -24y Combine like terms: 15y + -24y = -9y -2x = 35 + -9y Divide each side by '-2'. x = -17.5 + 4.5y Simplifying x = -17.5 + 4.5y
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