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Simplifying 3 + -0.75(3x + -4) = -5x + 7 Reorder the terms: 3 + -0.75(-4 + 3x) = -5x + 7 3 + (-4 * -0.75 + 3x * -0.75) = -5x + 7 3 + (3 + -2.25x) = -5x + 7 Combine like terms: 3 + 3 = 6 6 + -2.25x = -5x + 7 Reorder the terms: 6 + -2.25x = 7 + -5x Solving 6 + -2.25x = 7 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 6 + -2.25x + 5x = 7 + -5x + 5x Combine like terms: -2.25x + 5x = 2.75x 6 + 2.75x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 2.75x = 7 + 0 6 + 2.75x = 7 Add '-6' to each side of the equation. 6 + -6 + 2.75x = 7 + -6 Combine like terms: 6 + -6 = 0 0 + 2.75x = 7 + -6 2.75x = 7 + -6 Combine like terms: 7 + -6 = 1 2.75x = 1 Divide each side by '2.75'. x = 0.3636363636 Simplifying x = 0.3636363636
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