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Simplifying 2(2x + -3x) = 5(4y + 3x) Combine like terms: 2x + -3x = -1x 2(-1x) = 5(4y + 3x) Remove parenthesis around (-1x) 2 * -1x = 5(4y + 3x) Multiply 2 * -1 -2x = 5(4y + 3x) Reorder the terms: -2x = 5(3x + 4y) -2x = (3x * 5 + 4y * 5) -2x = (15x + 20y) Solving -2x = 15x + 20y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -2x + -15x = 15x + -15x + 20y Combine like terms: -2x + -15x = -17x -17x = 15x + -15x + 20y Combine like terms: 15x + -15x = 0 -17x = 0 + 20y -17x = 20y Divide each side by '-17'. x = -1.176470588y Simplifying x = -1.176470588y
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