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Simplifying 3.2x + 0.11 = 5(x + 0.22) Reorder the terms: 0.11 + 3.2x = 5(x + 0.22) Reorder the terms: 0.11 + 3.2x = 5(0.22 + x) 0.11 + 3.2x = (0.22 * 5 + x * 5) 0.11 + 3.2x = (1.1 + 5x) Solving 0.11 + 3.2x = 1.1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 0.11 + 3.2x + -5x = 1.1 + 5x + -5x Combine like terms: 3.2x + -5x = -1.8x 0.11 + -1.8x = 1.1 + 5x + -5x Combine like terms: 5x + -5x = 0 0.11 + -1.8x = 1.1 + 0 0.11 + -1.8x = 1.1 Add '-0.11' to each side of the equation. 0.11 + -0.11 + -1.8x = 1.1 + -0.11 Combine like terms: 0.11 + -0.11 = 0.00 0.00 + -1.8x = 1.1 + -0.11 -1.8x = 1.1 + -0.11 Combine like terms: 1.1 + -0.11 = 0.99 -1.8x = 0.99 Divide each side by '-1.8'. x = -0.55 Simplifying x = -0.55
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