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Simplifying (46x + 55y) + -1(15x + 26y) = 0 Remove parenthesis around (46x + 55y) 46x + 55y + -1(15x + 26y) = 0 46x + 55y + (15x * -1 + 26y * -1) = 0 46x + 55y + (-15x + -26y) = 0 Reorder the terms: 46x + -15x + 55y + -26y = 0 Combine like terms: 46x + -15x = 31x 31x + 55y + -26y = 0 Combine like terms: 55y + -26y = 29y 31x + 29y = 0 Solving 31x + 29y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29y' to each side of the equation. 31x + 29y + -29y = 0 + -29y Combine like terms: 29y + -29y = 0 31x + 0 = 0 + -29y 31x = 0 + -29y Remove the zero: 31x = -29y Divide each side by '31'. x = -0.935483871y Simplifying x = -0.935483871y
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