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Simplifying 3 + 0.45(x) = 0.3(x + 3) Reorder the terms: 3 + 0.45x = 0.3(3 + x) 3 + 0.45x = (3 * 0.3 + x * 0.3) 3 + 0.45x = (0.9 + 0.3x) Solving 3 + 0.45x = 0.9 + 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. 3 + 0.45x + -0.3x = 0.9 + 0.3x + -0.3x Combine like terms: 0.45x + -0.3x = 0.15x 3 + 0.15x = 0.9 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 3 + 0.15x = 0.9 + 0.0 3 + 0.15x = 0.9 Add '-3' to each side of the equation. 3 + -3 + 0.15x = 0.9 + -3 Combine like terms: 3 + -3 = 0 0 + 0.15x = 0.9 + -3 0.15x = 0.9 + -3 Combine like terms: 0.9 + -3 = -2.1 0.15x = -2.1 Divide each side by '0.15'. x = -14 Simplifying x = -14
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