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Simplifying 3(5x + -2) + 4x = 9x + 6 + -2y Reorder the terms: 3(-2 + 5x) + 4x = 9x + 6 + -2y (-2 * 3 + 5x * 3) + 4x = 9x + 6 + -2y (-6 + 15x) + 4x = 9x + 6 + -2y Combine like terms: 15x + 4x = 19x -6 + 19x = 9x + 6 + -2y Reorder the terms: -6 + 19x = 6 + 9x + -2y Solving -6 + 19x = 6 + 9x + -2y 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. -6 + 19x + -9x = 6 + 9x + -9x + -2y Combine like terms: 19x + -9x = 10x -6 + 10x = 6 + 9x + -9x + -2y Combine like terms: 9x + -9x = 0 -6 + 10x = 6 + 0 + -2y -6 + 10x = 6 + -2y Add '6' to each side of the equation. -6 + 6 + 10x = 6 + 6 + -2y Combine like terms: -6 + 6 = 0 0 + 10x = 6 + 6 + -2y 10x = 6 + 6 + -2y Combine like terms: 6 + 6 = 12 10x = 12 + -2y Divide each side by '10'. x = 1.2 + -0.2y Simplifying x = 1.2 + -0.2y
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