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Simplifying (30x + -5y + 13) + -1(-25x + 12y + -3) = 0 Reorder the terms: (13 + 30x + -5y) + -1(-25x + 12y + -3) = 0 Remove parenthesis around (13 + 30x + -5y) 13 + 30x + -5y + -1(-25x + 12y + -3) = 0 Reorder the terms: 13 + 30x + -5y + -1(-3 + -25x + 12y) = 0 13 + 30x + -5y + (-3 * -1 + -25x * -1 + 12y * -1) = 0 13 + 30x + -5y + (3 + 25x + -12y) = 0 Reorder the terms: 13 + 3 + 30x + 25x + -5y + -12y = 0 Combine like terms: 13 + 3 = 16 16 + 30x + 25x + -5y + -12y = 0 Combine like terms: 30x + 25x = 55x 16 + 55x + -5y + -12y = 0 Combine like terms: -5y + -12y = -17y 16 + 55x + -17y = 0 Solving 16 + 55x + -17y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 55x + -16 + -17y = 0 + -16 Reorder the terms: 16 + -16 + 55x + -17y = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 55x + -17y = 0 + -16 55x + -17y = 0 + -16 Combine like terms: 0 + -16 = -16 55x + -17y = -16 Add '17y' to each side of the equation. 55x + -17y + 17y = -16 + 17y Combine like terms: -17y + 17y = 0 55x + 0 = -16 + 17y 55x = -16 + 17y Divide each side by '55'. x = -0.2909090909 + 0.3090909091y Simplifying x = -0.2909090909 + 0.3090909091y
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