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Simplifying (74x + -47y) + -1(55x + 8y) = 0 Remove parenthesis around (74x + -47y) 74x + -47y + -1(55x + 8y) = 0 74x + -47y + (55x * -1 + 8y * -1) = 0 74x + -47y + (-55x + -8y) = 0 Reorder the terms: 74x + -55x + -47y + -8y = 0 Combine like terms: 74x + -55x = 19x 19x + -47y + -8y = 0 Combine like terms: -47y + -8y = -55y 19x + -55y = 0 Solving 19x + -55y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '55y' to each side of the equation. 19x + -55y + 55y = 0 + 55y Combine like terms: -55y + 55y = 0 19x + 0 = 0 + 55y 19x = 0 + 55y Remove the zero: 19x = 55y Divide each side by '19'. x = 2.894736842y Simplifying x = 2.894736842y
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