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Simplifying 0.5x + -0.9(8 + -3x) = 0.6(x + -7) 0.5x + (8 * -0.9 + -3x * -0.9) = 0.6(x + -7) 0.5x + (-7.2 + 2.7x) = 0.6(x + -7) Reorder the terms: -7.2 + 0.5x + 2.7x = 0.6(x + -7) Combine like terms: 0.5x + 2.7x = 3.2x -7.2 + 3.2x = 0.6(x + -7) Reorder the terms: -7.2 + 3.2x = 0.6(-7 + x) -7.2 + 3.2x = (-7 * 0.6 + x * 0.6) -7.2 + 3.2x = (-4.2 + 0.6x) Solving -7.2 + 3.2x = -4.2 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. -7.2 + 3.2x + -0.6x = -4.2 + 0.6x + -0.6x Combine like terms: 3.2x + -0.6x = 2.6x -7.2 + 2.6x = -4.2 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 -7.2 + 2.6x = -4.2 + 0.0 -7.2 + 2.6x = -4.2 Add '7.2' to each side of the equation. -7.2 + 7.2 + 2.6x = -4.2 + 7.2 Combine like terms: -7.2 + 7.2 = 0.0 0.0 + 2.6x = -4.2 + 7.2 2.6x = -4.2 + 7.2 Combine like terms: -4.2 + 7.2 = 3 2.6x = 3 Divide each side by '2.6'. x = 1.153846154 Simplifying x = 1.153846154
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