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Simplifying 0.5(-4 + 6x) = 0.3x + 0.67(x + 9) (-4 * 0.5 + 6x * 0.5) = 0.3x + 0.67(x + 9) (-2 + 3x) = 0.3x + 0.67(x + 9) Reorder the terms: -2 + 3x = 0.3x + 0.67(9 + x) -2 + 3x = 0.3x + (9 * 0.67 + x * 0.67) -2 + 3x = 0.3x + (6.03 + 0.67x) Reorder the terms: -2 + 3x = 6.03 + 0.3x + 0.67x Combine like terms: 0.3x + 0.67x = 0.97x -2 + 3x = 6.03 + 0.97x Solving -2 + 3x = 6.03 + 0.97x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.97x' to each side of the equation. -2 + 3x + -0.97x = 6.03 + 0.97x + -0.97x Combine like terms: 3x + -0.97x = 2.03x -2 + 2.03x = 6.03 + 0.97x + -0.97x Combine like terms: 0.97x + -0.97x = 0.00 -2 + 2.03x = 6.03 + 0.00 -2 + 2.03x = 6.03 Add '2' to each side of the equation. -2 + 2 + 2.03x = 6.03 + 2 Combine like terms: -2 + 2 = 0 0 + 2.03x = 6.03 + 2 2.03x = 6.03 + 2 Combine like terms: 6.03 + 2 = 8.03 2.03x = 8.03 Divide each side by '2.03'. x = 3.955665025 Simplifying x = 3.955665025
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