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Simplifying 4(2x + -6y + 4) = -3(5x + 2y + -11) Reorder the terms: 4(4 + 2x + -6y) = -3(5x + 2y + -11) (4 * 4 + 2x * 4 + -6y * 4) = -3(5x + 2y + -11) (16 + 8x + -24y) = -3(5x + 2y + -11) Reorder the terms: 16 + 8x + -24y = -3(-11 + 5x + 2y) 16 + 8x + -24y = (-11 * -3 + 5x * -3 + 2y * -3) 16 + 8x + -24y = (33 + -15x + -6y) Solving 16 + 8x + -24y = 33 + -15x + -6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 16 + 8x + 15x + -24y = 33 + -15x + 15x + -6y Combine like terms: 8x + 15x = 23x 16 + 23x + -24y = 33 + -15x + 15x + -6y Combine like terms: -15x + 15x = 0 16 + 23x + -24y = 33 + 0 + -6y 16 + 23x + -24y = 33 + -6y Add '-16' to each side of the equation. 16 + 23x + -16 + -24y = 33 + -16 + -6y Reorder the terms: 16 + -16 + 23x + -24y = 33 + -16 + -6y Combine like terms: 16 + -16 = 0 0 + 23x + -24y = 33 + -16 + -6y 23x + -24y = 33 + -16 + -6y Combine like terms: 33 + -16 = 17 23x + -24y = 17 + -6y Add '24y' to each side of the equation. 23x + -24y + 24y = 17 + -6y + 24y Combine like terms: -24y + 24y = 0 23x + 0 = 17 + -6y + 24y 23x = 17 + -6y + 24y Combine like terms: -6y + 24y = 18y 23x = 17 + 18y Divide each side by '23'. x = 0.7391304348 + 0.7826086957y Simplifying x = 0.7391304348 + 0.7826086957y
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