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Simplifying 0.2x + 3.7x + 4.2x + 13 = 2x + 20 Reorder the terms: 13 + 0.2x + 3.7x + 4.2x = 2x + 20 Combine like terms: 0.2x + 3.7x = 3.9x 13 + 3.9x + 4.2x = 2x + 20 Combine like terms: 3.9x + 4.2x = 8.1x 13 + 8.1x = 2x + 20 Reorder the terms: 13 + 8.1x = 20 + 2x Solving 13 + 8.1x = 20 + 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. 13 + 8.1x + -2x = 20 + 2x + -2x Combine like terms: 8.1x + -2x = 6.1x 13 + 6.1x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + 6.1x = 20 + 0 13 + 6.1x = 20 Add '-13' to each side of the equation. 13 + -13 + 6.1x = 20 + -13 Combine like terms: 13 + -13 = 0 0 + 6.1x = 20 + -13 6.1x = 20 + -13 Combine like terms: 20 + -13 = 7 6.1x = 7 Divide each side by '6.1'. x = 1.147540984 Simplifying x = 1.147540984
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