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Simplifying 6 + 2(7 + x) + 8y = 36 + 2y + 10x 6 + (7 * 2 + x * 2) + 8y = 36 + 2y + 10x 6 + (14 + 2x) + 8y = 36 + 2y + 10x Combine like terms: 6 + 14 = 20 20 + 2x + 8y = 36 + 2y + 10x Reorder the terms: 20 + 2x + 8y = 36 + 10x + 2y Solving 20 + 2x + 8y = 36 + 10x + 2y 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. 20 + 2x + -10x + 8y = 36 + 10x + -10x + 2y Combine like terms: 2x + -10x = -8x 20 + -8x + 8y = 36 + 10x + -10x + 2y Combine like terms: 10x + -10x = 0 20 + -8x + 8y = 36 + 0 + 2y 20 + -8x + 8y = 36 + 2y Add '-20' to each side of the equation. 20 + -8x + -20 + 8y = 36 + -20 + 2y Reorder the terms: 20 + -20 + -8x + 8y = 36 + -20 + 2y Combine like terms: 20 + -20 = 0 0 + -8x + 8y = 36 + -20 + 2y -8x + 8y = 36 + -20 + 2y Combine like terms: 36 + -20 = 16 -8x + 8y = 16 + 2y Add '-8y' to each side of the equation. -8x + 8y + -8y = 16 + 2y + -8y Combine like terms: 8y + -8y = 0 -8x + 0 = 16 + 2y + -8y -8x = 16 + 2y + -8y Combine like terms: 2y + -8y = -6y -8x = 16 + -6y Divide each side by '-8'. x = -2 + 0.75y Simplifying x = -2 + 0.75y
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