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Simplifying (6.9x + -3y + 3) + -1(4.5x + -2y + -6) = 0 Reorder the terms: (3 + 6.9x + -3y) + -1(4.5x + -2y + -6) = 0 Remove parenthesis around (3 + 6.9x + -3y) 3 + 6.9x + -3y + -1(4.5x + -2y + -6) = 0 Reorder the terms: 3 + 6.9x + -3y + -1(-6 + 4.5x + -2y) = 0 3 + 6.9x + -3y + (-6 * -1 + 4.5x * -1 + -2y * -1) = 0 3 + 6.9x + -3y + (6 + -4.5x + 2y) = 0 Reorder the terms: 3 + 6 + 6.9x + -4.5x + -3y + 2y = 0 Combine like terms: 3 + 6 = 9 9 + 6.9x + -4.5x + -3y + 2y = 0 Combine like terms: 6.9x + -4.5x = 2.4x 9 + 2.4x + -3y + 2y = 0 Combine like terms: -3y + 2y = -1y 9 + 2.4x + -1y = 0 Solving 9 + 2.4x + -1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 2.4x + -9 + -1y = 0 + -9 Reorder the terms: 9 + -9 + 2.4x + -1y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2.4x + -1y = 0 + -9 2.4x + -1y = 0 + -9 Combine like terms: 0 + -9 = -9 2.4x + -1y = -9 Add 'y' to each side of the equation. 2.4x + -1y + y = -9 + y Combine like terms: -1y + y = 0 2.4x + 0 = -9 + y 2.4x = -9 + y Divide each side by '2.4'. x = -3.75 + 0.4166666667y Simplifying x = -3.75 + 0.4166666667y
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