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Simplifying 10x + 6 = 2(3x + -3 + y) Reorder the terms: 6 + 10x = 2(3x + -3 + y) Reorder the terms: 6 + 10x = 2(-3 + 3x + y) 6 + 10x = (-3 * 2 + 3x * 2 + y * 2) 6 + 10x = (-6 + 6x + 2y) Solving 6 + 10x = -6 + 6x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + 10x + -6x = -6 + 6x + -6x + 2y Combine like terms: 10x + -6x = 4x 6 + 4x = -6 + 6x + -6x + 2y Combine like terms: 6x + -6x = 0 6 + 4x = -6 + 0 + 2y 6 + 4x = -6 + 2y Add '-6' to each side of the equation. 6 + -6 + 4x = -6 + -6 + 2y Combine like terms: 6 + -6 = 0 0 + 4x = -6 + -6 + 2y 4x = -6 + -6 + 2y Combine like terms: -6 + -6 = -12 4x = -12 + 2y Divide each side by '4'. x = -3 + 0.5y Simplifying x = -3 + 0.5y
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