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Simplifying 0.2(x + 0.5) + 5.24 = 1.5x + 0.7(x + 2.2) Reorder the terms: 0.2(0.5 + x) + 5.24 = 1.5x + 0.7(x + 2.2) (0.5 * 0.2 + x * 0.2) + 5.24 = 1.5x + 0.7(x + 2.2) (0.1 + 0.2x) + 5.24 = 1.5x + 0.7(x + 2.2) Reorder the terms: 0.1 + 5.24 + 0.2x = 1.5x + 0.7(x + 2.2) Combine like terms: 0.1 + 5.24 = 5.34 5.34 + 0.2x = 1.5x + 0.7(x + 2.2) Reorder the terms: 5.34 + 0.2x = 1.5x + 0.7(2.2 + x) 5.34 + 0.2x = 1.5x + (2.2 * 0.7 + x * 0.7) 5.34 + 0.2x = 1.5x + (1.54 + 0.7x) Reorder the terms: 5.34 + 0.2x = 1.54 + 1.5x + 0.7x Combine like terms: 1.5x + 0.7x = 2.2x 5.34 + 0.2x = 1.54 + 2.2x Solving 5.34 + 0.2x = 1.54 + 2.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.2x' to each side of the equation. 5.34 + 0.2x + -2.2x = 1.54 + 2.2x + -2.2x Combine like terms: 0.2x + -2.2x = -2x 5.34 + -2x = 1.54 + 2.2x + -2.2x Combine like terms: 2.2x + -2.2x = 0.0 5.34 + -2x = 1.54 + 0.0 5.34 + -2x = 1.54 Add '-5.34' to each side of the equation. 5.34 + -5.34 + -2x = 1.54 + -5.34 Combine like terms: 5.34 + -5.34 = 0.00 0.00 + -2x = 1.54 + -5.34 -2x = 1.54 + -5.34 Combine like terms: 1.54 + -5.34 = -3.8 -2x = -3.8 Divide each side by '-2'. x = 1.9 Simplifying x = 1.9
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