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Simplifying 5(2x + -3y) = 2x (2x * 5 + -3y * 5) = 2x (10x + -15y) = 2x Solving 10x + -15y = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10x + -2x + -15y = 2x + -2x Combine like terms: 10x + -2x = 8x 8x + -15y = 2x + -2x Combine like terms: 2x + -2x = 0 8x + -15y = 0 Add '15y' to each side of the equation. 8x + -15y + 15y = 0 + 15y Combine like terms: -15y + 15y = 0 8x + 0 = 0 + 15y 8x = 0 + 15y Remove the zero: 8x = 15y Divide each side by '8'. x = 1.875y Simplifying x = 1.875y
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