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Simplifying 6(y + 4) + -4x = 10x + -8 Reorder the terms: 6(4 + y) + -4x = 10x + -8 (4 * 6 + y * 6) + -4x = 10x + -8 (24 + 6y) + -4x = 10x + -8 Reorder the terms: 24 + -4x + 6y = 10x + -8 Reorder the terms: 24 + -4x + 6y = -8 + 10x Solving 24 + -4x + 6y = -8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 24 + -4x + -10x + 6y = -8 + 10x + -10x Combine like terms: -4x + -10x = -14x 24 + -14x + 6y = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + -14x + 6y = -8 + 0 24 + -14x + 6y = -8 Add '-24' to each side of the equation. 24 + -14x + -24 + 6y = -8 + -24 Reorder the terms: 24 + -24 + -14x + 6y = -8 + -24 Combine like terms: 24 + -24 = 0 0 + -14x + 6y = -8 + -24 -14x + 6y = -8 + -24 Combine like terms: -8 + -24 = -32 -14x + 6y = -32 Add '-6y' to each side of the equation. -14x + 6y + -6y = -32 + -6y Combine like terms: 6y + -6y = 0 -14x + 0 = -32 + -6y -14x = -32 + -6y Divide each side by '-14'. x = 2.285714286 + 0.4285714286y Simplifying x = 2.285714286 + 0.4285714286y
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