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Simplifying 0.75(x + 2) = 6(x + 12) Reorder the terms: 0.75(2 + x) = 6(x + 12) (2 * 0.75 + x * 0.75) = 6(x + 12) (1.5 + 0.75x) = 6(x + 12) Reorder the terms: 1.5 + 0.75x = 6(12 + x) 1.5 + 0.75x = (12 * 6 + x * 6) 1.5 + 0.75x = (72 + 6x) Solving 1.5 + 0.75x = 72 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1.5 + 0.75x + -6x = 72 + 6x + -6x Combine like terms: 0.75x + -6x = -5.25x 1.5 + -5.25x = 72 + 6x + -6x Combine like terms: 6x + -6x = 0 1.5 + -5.25x = 72 + 0 1.5 + -5.25x = 72 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -5.25x = 72 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -5.25x = 72 + -1.5 -5.25x = 72 + -1.5 Combine like terms: 72 + -1.5 = 70.5 -5.25x = 70.5 Divide each side by '-5.25'. x = -13.42857143 Simplifying x = -13.42857143
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