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Simplifying 5x + -10y + -6x + -7y + 65 = 180 Reorder the terms: 65 + 5x + -6x + -10y + -7y = 180 Combine like terms: 5x + -6x = -1x 65 + -1x + -10y + -7y = 180 Combine like terms: -10y + -7y = -17y 65 + -1x + -17y = 180 Solving 65 + -1x + -17y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -1x + -65 + -17y = 180 + -65 Reorder the terms: 65 + -65 + -1x + -17y = 180 + -65 Combine like terms: 65 + -65 = 0 0 + -1x + -17y = 180 + -65 -1x + -17y = 180 + -65 Combine like terms: 180 + -65 = 115 -1x + -17y = 115 Add '17y' to each side of the equation. -1x + -17y + 17y = 115 + 17y Combine like terms: -17y + 17y = 0 -1x + 0 = 115 + 17y -1x = 115 + 17y Divide each side by '-1'. x = -115 + -17y Simplifying x = -115 + -17y
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