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Simplifying 0.5(x + 9) + 4 = 0.3(x + -2) Reorder the terms: 0.5(9 + x) + 4 = 0.3(x + -2) (9 * 0.5 + x * 0.5) + 4 = 0.3(x + -2) (4.5 + 0.5x) + 4 = 0.3(x + -2) Reorder the terms: 4.5 + 4 + 0.5x = 0.3(x + -2) Combine like terms: 4.5 + 4 = 8.5 8.5 + 0.5x = 0.3(x + -2) Reorder the terms: 8.5 + 0.5x = 0.3(-2 + x) 8.5 + 0.5x = (-2 * 0.3 + x * 0.3) 8.5 + 0.5x = (-0.6 + 0.3x) Solving 8.5 + 0.5x = -0.6 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 8.5 + 0.5x + -0.3x = -0.6 + 0.3x + -0.3x Combine like terms: 0.5x + -0.3x = 0.2x 8.5 + 0.2x = -0.6 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 8.5 + 0.2x = -0.6 + 0.0 8.5 + 0.2x = -0.6 Add '-8.5' to each side of the equation. 8.5 + -8.5 + 0.2x = -0.6 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + 0.2x = -0.6 + -8.5 0.2x = -0.6 + -8.5 Combine like terms: -0.6 + -8.5 = -9.1 0.2x = -9.1 Divide each side by '0.2'. x = -45.5 Simplifying x = -45.5
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