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Simplifying 3(x + 0.15) = 2(x + 0.50) Reorder the terms: 3(0.15 + x) = 2(x + 0.50) (0.15 * 3 + x * 3) = 2(x + 0.50) (0.45 + 3x) = 2(x + 0.50) Reorder the terms: 0.45 + 3x = 2(0.50 + x) 0.45 + 3x = (0.50 * 2 + x * 2) 0.45 + 3x = (1 + 2x) Solving 0.45 + 3x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 0.45 + 3x + -2x = 1 + 2x + -2x Combine like terms: 3x + -2x = 1x 0.45 + 1x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 0.45 + 1x = 1 + 0 0.45 + 1x = 1 Add '-0.45' to each side of the equation. 0.45 + -0.45 + 1x = 1 + -0.45 Combine like terms: 0.45 + -0.45 = 0.00 0.00 + 1x = 1 + -0.45 1x = 1 + -0.45 Combine like terms: 1 + -0.45 = 0.55 1x = 0.55 Divide each side by '1'. x = 0.55 Simplifying x = 0.55
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