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Simplifying 0.5(9x + -4) + 6 = 1.5(-5x + 4) + 2x Reorder the terms: 0.5(-4 + 9x) + 6 = 1.5(-5x + 4) + 2x (-4 * 0.5 + 9x * 0.5) + 6 = 1.5(-5x + 4) + 2x (-2 + 4.5x) + 6 = 1.5(-5x + 4) + 2x Reorder the terms: -2 + 6 + 4.5x = 1.5(-5x + 4) + 2x Combine like terms: -2 + 6 = 4 4 + 4.5x = 1.5(-5x + 4) + 2x Reorder the terms: 4 + 4.5x = 1.5(4 + -5x) + 2x 4 + 4.5x = (4 * 1.5 + -5x * 1.5) + 2x 4 + 4.5x = (6 + -7.5x) + 2x Combine like terms: -7.5x + 2x = -5.5x 4 + 4.5x = 6 + -5.5x Solving 4 + 4.5x = 6 + -5.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.5x' to each side of the equation. 4 + 4.5x + 5.5x = 6 + -5.5x + 5.5x Combine like terms: 4.5x + 5.5x = 10x 4 + 10x = 6 + -5.5x + 5.5x Combine like terms: -5.5x + 5.5x = 0.0 4 + 10x = 6 + 0.0 4 + 10x = 6 Add '-4' to each side of the equation. 4 + -4 + 10x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = 6 + -4 10x = 6 + -4 Combine like terms: 6 + -4 = 2 10x = 2 Divide each side by '10'. x = 0.2 Simplifying x = 0.2
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