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Simplifying 5(2x + -3y + 2) = 3(3x + -4y + 3) Reorder the terms: 5(2 + 2x + -3y) = 3(3x + -4y + 3) (2 * 5 + 2x * 5 + -3y * 5) = 3(3x + -4y + 3) (10 + 10x + -15y) = 3(3x + -4y + 3) Reorder the terms: 10 + 10x + -15y = 3(3 + 3x + -4y) 10 + 10x + -15y = (3 * 3 + 3x * 3 + -4y * 3) 10 + 10x + -15y = (9 + 9x + -12y) Solving 10 + 10x + -15y = 9 + 9x + -12y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 10 + 10x + -9x + -15y = 9 + 9x + -9x + -12y Combine like terms: 10x + -9x = 1x 10 + 1x + -15y = 9 + 9x + -9x + -12y Combine like terms: 9x + -9x = 0 10 + 1x + -15y = 9 + 0 + -12y 10 + 1x + -15y = 9 + -12y Add '-10' to each side of the equation. 10 + 1x + -10 + -15y = 9 + -10 + -12y Reorder the terms: 10 + -10 + 1x + -15y = 9 + -10 + -12y Combine like terms: 10 + -10 = 0 0 + 1x + -15y = 9 + -10 + -12y 1x + -15y = 9 + -10 + -12y Combine like terms: 9 + -10 = -1 1x + -15y = -1 + -12y Add '15y' to each side of the equation. 1x + -15y + 15y = -1 + -12y + 15y Combine like terms: -15y + 15y = 0 1x + 0 = -1 + -12y + 15y 1x = -1 + -12y + 15y Combine like terms: -12y + 15y = 3y 1x = -1 + 3y Divide each side by '1'. x = -1 + 3y Simplifying x = -1 + 3y
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