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Simplifying 0.75(x + 5) = 3x + -3 Reorder the terms: 0.75(5 + x) = 3x + -3 (5 * 0.75 + x * 0.75) = 3x + -3 (3.75 + 0.75x) = 3x + -3 Reorder the terms: 3.75 + 0.75x = -3 + 3x Solving 3.75 + 0.75x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 3.75 + 0.75x + -3x = -3 + 3x + -3x Combine like terms: 0.75x + -3x = -2.25x 3.75 + -2.25x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 3.75 + -2.25x = -3 + 0 3.75 + -2.25x = -3 Add '-3.75' to each side of the equation. 3.75 + -3.75 + -2.25x = -3 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + -2.25x = -3 + -3.75 -2.25x = -3 + -3.75 Combine like terms: -3 + -3.75 = -6.75 -2.25x = -6.75 Divide each side by '-2.25'. x = 3 Simplifying x = 3
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