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Simplifying 0.3(x + 3) + -0.6 = 0.6(2x + 5) Reorder the terms: 0.3(3 + x) + -0.6 = 0.6(2x + 5) (3 * 0.3 + x * 0.3) + -0.6 = 0.6(2x + 5) (0.9 + 0.3x) + -0.6 = 0.6(2x + 5) Reorder the terms: 0.9 + -0.6 + 0.3x = 0.6(2x + 5) Combine like terms: 0.9 + -0.6 = 0.3 0.3 + 0.3x = 0.6(2x + 5) Reorder the terms: 0.3 + 0.3x = 0.6(5 + 2x) 0.3 + 0.3x = (5 * 0.6 + 2x * 0.6) 0.3 + 0.3x = (3 + 1.2x) Solving 0.3 + 0.3x = 3 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. 0.3 + 0.3x + -1.2x = 3 + 1.2x + -1.2x Combine like terms: 0.3x + -1.2x = -0.9x 0.3 + -0.9x = 3 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 0.3 + -0.9x = 3 + 0.0 0.3 + -0.9x = 3 Add '-0.3' to each side of the equation. 0.3 + -0.3 + -0.9x = 3 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -0.9x = 3 + -0.3 -0.9x = 3 + -0.3 Combine like terms: 3 + -0.3 = 2.7 -0.9x = 2.7 Divide each side by '-0.9'. x = -3 Simplifying x = -3
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