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Simplifying 1.5(x + 0.5) + 5.24 = 3.2x + 7.10(x + 2.2) Reorder the terms: 1.5(0.5 + x) + 5.24 = 3.2x + 7.10(x + 2.2) (0.5 * 1.5 + x * 1.5) + 5.24 = 3.2x + 7.10(x + 2.2) (0.75 + 1.5x) + 5.24 = 3.2x + 7.10(x + 2.2) Reorder the terms: 0.75 + 5.24 + 1.5x = 3.2x + 7.10(x + 2.2) Combine like terms: 0.75 + 5.24 = 5.99 5.99 + 1.5x = 3.2x + 7.10(x + 2.2) Reorder the terms: 5.99 + 1.5x = 3.2x + 7.10(2.2 + x) 5.99 + 1.5x = 3.2x + (2.2 * 7.10 + x * 7.10) 5.99 + 1.5x = 3.2x + (15.62 + 7.10x) Reorder the terms: 5.99 + 1.5x = 15.62 + 3.2x + 7.10x Combine like terms: 3.2x + 7.10x = 10.3x 5.99 + 1.5x = 15.62 + 10.3x Solving 5.99 + 1.5x = 15.62 + 10.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.3x' to each side of the equation. 5.99 + 1.5x + -10.3x = 15.62 + 10.3x + -10.3x Combine like terms: 1.5x + -10.3x = -8.8x 5.99 + -8.8x = 15.62 + 10.3x + -10.3x Combine like terms: 10.3x + -10.3x = 0.0 5.99 + -8.8x = 15.62 + 0.0 5.99 + -8.8x = 15.62 Add '-5.99' to each side of the equation. 5.99 + -5.99 + -8.8x = 15.62 + -5.99 Combine like terms: 5.99 + -5.99 = 0.00 0.00 + -8.8x = 15.62 + -5.99 -8.8x = 15.62 + -5.99 Combine like terms: 15.62 + -5.99 = 9.63 -8.8x = 9.63 Divide each side by '-8.8'. x = -1.094318182 Simplifying x = -1.094318182
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