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Simplifying 3x + 4(12 + -0.75y) = 48 3x + (12 * 4 + -0.75y * 4) = 48 3x + (48 + -3y) = 48 Reorder the terms: 48 + 3x + -3y = 48 Add '-48' to each side of the equation. 48 + 3x + -48 + -3y = 48 + -48 Reorder the terms: 48 + -48 + 3x + -3y = 48 + -48 Combine like terms: 48 + -48 = 0 0 + 3x + -3y = 48 + -48 3x + -3y = 48 + -48 Combine like terms: 48 + -48 = 0 3x + -3y = 0 Solving 3x + -3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 3x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 3x + 0 = 0 + 3y 3x = 0 + 3y Remove the zero: 3x = 3y Divide each side by '3'. x = y Simplifying x = y
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