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Simplifying (2x + 3y) * 2 + -1(2x + -3x) * 2 = 360 Reorder the terms for easier multiplication: 2(2x + 3y) + -1(2x + -3x) * 2 = 360 (2x * 2 + 3y * 2) + -1(2x + -3x) * 2 = 360 (4x + 6y) + -1(2x + -3x) * 2 = 360 Combine like terms: 2x + -3x = -1x 4x + 6y + -1(-1x) * 2 = 360 Remove parenthesis around (-1x) 4x + 6y + -1 * -1x * 2 = 360 Reorder the terms for easier multiplication: 4x + 6y + -1 * -1 * 2x = 360 Multiply -1 * -1 4x + 6y + 1 * 2x = 360 Multiply 1 * 2 4x + 6y + 2x = 360 Reorder the terms: 4x + 2x + 6y = 360 Combine like terms: 4x + 2x = 6x 6x + 6y = 360 Solving 6x + 6y = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 6x + 6y + -6y = 360 + -6y Combine like terms: 6y + -6y = 0 6x + 0 = 360 + -6y 6x = 360 + -6y Divide each side by '6'. x = 60 + -1y Simplifying x = 60 + -1y
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