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Simplifying 0.28(x + -3) = 0.25(x + -0.67 + 4) Reorder the terms: 0.28(-3 + x) = 0.25(x + -0.67 + 4) (-3 * 0.28 + x * 0.28) = 0.25(x + -0.67 + 4) (-0.84 + 0.28x) = 0.25(x + -0.67 + 4) Reorder the terms: -0.84 + 0.28x = 0.25(-0.67 + 4 + x) Combine like terms: -0.67 + 4 = 3.33 -0.84 + 0.28x = 0.25(3.33 + x) -0.84 + 0.28x = (3.33 * 0.25 + x * 0.25) -0.84 + 0.28x = (0.8325 + 0.25x) Solving -0.84 + 0.28x = 0.8325 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. -0.84 + 0.28x + -0.25x = 0.8325 + 0.25x + -0.25x Combine like terms: 0.28x + -0.25x = 0.03x -0.84 + 0.03x = 0.8325 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 -0.84 + 0.03x = 0.8325 + 0.00 -0.84 + 0.03x = 0.8325 Add '0.84' to each side of the equation. -0.84 + 0.84 + 0.03x = 0.8325 + 0.84 Combine like terms: -0.84 + 0.84 = 0.00 0.00 + 0.03x = 0.8325 + 0.84 0.03x = 0.8325 + 0.84 Combine like terms: 0.8325 + 0.84 = 1.6725 0.03x = 1.6725 Divide each side by '0.03'. x = 55.75 Simplifying x = 55.75
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