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Simplifying 0.5(2x + -6) + 5 = 0.67x + 9 + 2.3x Reorder the terms: 0.5(-6 + 2x) + 5 = 0.67x + 9 + 2.3x (-6 * 0.5 + 2x * 0.5) + 5 = 0.67x + 9 + 2.3x (-3 + 1x) + 5 = 0.67x + 9 + 2.3x Reorder the terms: -3 + 5 + 1x = 0.67x + 9 + 2.3x Combine like terms: -3 + 5 = 2 2 + 1x = 0.67x + 9 + 2.3x Reorder the terms: 2 + 1x = 9 + 0.67x + 2.3x Combine like terms: 0.67x + 2.3x = 2.97x 2 + 1x = 9 + 2.97x Solving 2 + 1x = 9 + 2.97x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.97x' to each side of the equation. 2 + 1x + -2.97x = 9 + 2.97x + -2.97x Combine like terms: 1x + -2.97x = -1.97x 2 + -1.97x = 9 + 2.97x + -2.97x Combine like terms: 2.97x + -2.97x = 0.00 2 + -1.97x = 9 + 0.00 2 + -1.97x = 9 Add '-2' to each side of the equation. 2 + -2 + -1.97x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + -1.97x = 9 + -2 -1.97x = 9 + -2 Combine like terms: 9 + -2 = 7 -1.97x = 7 Divide each side by '-1.97'. x = -3.553299492 Simplifying x = -3.553299492
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