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Simplifying 4(4 + -1x) + 6x = 4x + 12 + -1y (4 * 4 + -1x * 4) + 6x = 4x + 12 + -1y (16 + -4x) + 6x = 4x + 12 + -1y Combine like terms: -4x + 6x = 2x 16 + 2x = 4x + 12 + -1y Reorder the terms: 16 + 2x = 12 + 4x + -1y Solving 16 + 2x = 12 + 4x + -1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 16 + 2x + -4x = 12 + 4x + -4x + -1y Combine like terms: 2x + -4x = -2x 16 + -2x = 12 + 4x + -4x + -1y Combine like terms: 4x + -4x = 0 16 + -2x = 12 + 0 + -1y 16 + -2x = 12 + -1y Add '-16' to each side of the equation. 16 + -16 + -2x = 12 + -16 + -1y Combine like terms: 16 + -16 = 0 0 + -2x = 12 + -16 + -1y -2x = 12 + -16 + -1y Combine like terms: 12 + -16 = -4 -2x = -4 + -1y Divide each side by '-2'. x = 2 + 0.5y Simplifying x = 2 + 0.5y
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