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Simplifying 0.07(9x + -11y) = 2.9 + -1(-4x + 6) + y (9x * 0.07 + -11y * 0.07) = 2.9 + -1(-4x + 6) + y (0.63x + -0.77y) = 2.9 + -1(-4x + 6) + y Reorder the terms: 0.63x + -0.77y = 2.9 + -1(6 + -4x) + y 0.63x + -0.77y = 2.9 + (6 * -1 + -4x * -1) + y 0.63x + -0.77y = 2.9 + (-6 + 4x) + y Combine like terms: 2.9 + -6 = -3.1 0.63x + -0.77y = -3.1 + 4x + y Solving 0.63x + -0.77y = -3.1 + 4x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 0.63x + -4x + -0.77y = -3.1 + 4x + -4x + y Combine like terms: 0.63x + -4x = -3.37x -3.37x + -0.77y = -3.1 + 4x + -4x + y Combine like terms: 4x + -4x = 0 -3.37x + -0.77y = -3.1 + 0 + y -3.37x + -0.77y = -3.1 + y Add '0.77y' to each side of the equation. -3.37x + -0.77y + 0.77y = -3.1 + y + 0.77y Combine like terms: -0.77y + 0.77y = 0.00 -3.37x + 0.00 = -3.1 + y + 0.77y -3.37x = -3.1 + y + 0.77y Combine like terms: y + 0.77y = 1.77y -3.37x = -3.1 + 1.77y Divide each side by '-3.37'. x = 0.9198813056 + -0.5252225519y Simplifying x = 0.9198813056 + -0.5252225519y
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