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Simplifying 0.5(9x + 7) = 0.6(x + -3) Reorder the terms: 0.5(7 + 9x) = 0.6(x + -3) (7 * 0.5 + 9x * 0.5) = 0.6(x + -3) (3.5 + 4.5x) = 0.6(x + -3) Reorder the terms: 3.5 + 4.5x = 0.6(-3 + x) 3.5 + 4.5x = (-3 * 0.6 + x * 0.6) 3.5 + 4.5x = (-1.8 + 0.6x) Solving 3.5 + 4.5x = -1.8 + 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. 3.5 + 4.5x + -0.6x = -1.8 + 0.6x + -0.6x Combine like terms: 4.5x + -0.6x = 3.9x 3.5 + 3.9x = -1.8 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 3.5 + 3.9x = -1.8 + 0.0 3.5 + 3.9x = -1.8 Add '-3.5' to each side of the equation. 3.5 + -3.5 + 3.9x = -1.8 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 3.9x = -1.8 + -3.5 3.9x = -1.8 + -3.5 Combine like terms: -1.8 + -3.5 = -5.3 3.9x = -5.3 Divide each side by '3.9'. x = -1.358974359 Simplifying x = -1.358974359
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