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Simplifying 0.15(x + 2) + 0.3 = 0.35x + -0.4 Reorder the terms: 0.15(2 + x) + 0.3 = 0.35x + -0.4 (2 * 0.15 + x * 0.15) + 0.3 = 0.35x + -0.4 (0.3 + 0.15x) + 0.3 = 0.35x + -0.4 Reorder the terms: 0.3 + 0.3 + 0.15x = 0.35x + -0.4 Combine like terms: 0.3 + 0.3 = 0.6 0.6 + 0.15x = 0.35x + -0.4 Reorder the terms: 0.6 + 0.15x = -0.4 + 0.35x Solving 0.6 + 0.15x = -0.4 + 0.35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.35x' to each side of the equation. 0.6 + 0.15x + -0.35x = -0.4 + 0.35x + -0.35x Combine like terms: 0.15x + -0.35x = -0.2x 0.6 + -0.2x = -0.4 + 0.35x + -0.35x Combine like terms: 0.35x + -0.35x = 0.00 0.6 + -0.2x = -0.4 + 0.00 0.6 + -0.2x = -0.4 Add '-0.6' to each side of the equation. 0.6 + -0.6 + -0.2x = -0.4 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -0.2x = -0.4 + -0.6 -0.2x = -0.4 + -0.6 Combine like terms: -0.4 + -0.6 = -1 -0.2x = -1 Divide each side by '-0.2'. x = 5 Simplifying x = 5
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