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Simplifying 0.75x + 3 = 6(-1x + 3) Reorder the terms: 3 + 0.75x = 6(-1x + 3) Reorder the terms: 3 + 0.75x = 6(3 + -1x) 3 + 0.75x = (3 * 6 + -1x * 6) 3 + 0.75x = (18 + -6x) Solving 3 + 0.75x = 18 + -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. 3 + 0.75x + 6x = 18 + -6x + 6x Combine like terms: 0.75x + 6x = 6.75x 3 + 6.75x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 3 + 6.75x = 18 + 0 3 + 6.75x = 18 Add '-3' to each side of the equation. 3 + -3 + 6.75x = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 6.75x = 18 + -3 6.75x = 18 + -3 Combine like terms: 18 + -3 = 15 6.75x = 15 Divide each side by '6.75'. x = 2.222222222 Simplifying x = 2.222222222
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