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Simplifying 8(1.5 + 0.75x) + -6y = 12 (1.5 * 8 + 0.75x * 8) + -6y = 12 (12 + 6x) + -6y = 12 Add '-12' to each side of the equation. 12 + 6x + -12 + -6y = 12 + -12 Reorder the terms: 12 + -12 + 6x + -6y = 12 + -12 Combine like terms: 12 + -12 = 0 0 + 6x + -6y = 12 + -12 6x + -6y = 12 + -12 Combine like terms: 12 + -12 = 0 6x + -6y = 0 Solving 6x + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. 6x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 6x + 0 = 0 + 6y 6x = 0 + 6y Remove the zero: 6x = 6y Divide each side by '6'. x = y Simplifying x = y
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