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Simplifying 3(-1x + 1) = -3.75(x + -2) Reorder the terms: 3(1 + -1x) = -3.75(x + -2) (1 * 3 + -1x * 3) = -3.75(x + -2) (3 + -3x) = -3.75(x + -2) Reorder the terms: 3 + -3x = -3.75(-2 + x) 3 + -3x = (-2 * -3.75 + x * -3.75) 3 + -3x = (7.5 + -3.75x) Solving 3 + -3x = 7.5 + -3.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.75x' to each side of the equation. 3 + -3x + 3.75x = 7.5 + -3.75x + 3.75x Combine like terms: -3x + 3.75x = 0.75x 3 + 0.75x = 7.5 + -3.75x + 3.75x Combine like terms: -3.75x + 3.75x = 0.00 3 + 0.75x = 7.5 + 0.00 3 + 0.75x = 7.5 Add '-3' to each side of the equation. 3 + -3 + 0.75x = 7.5 + -3 Combine like terms: 3 + -3 = 0 0 + 0.75x = 7.5 + -3 0.75x = 7.5 + -3 Combine like terms: 7.5 + -3 = 4.5 0.75x = 4.5 Divide each side by '0.75'. x = 6 Simplifying x = 6
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