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Simplifying 2.1(x + 5) = 3.4(5x + 10) Reorder the terms: 2.1(5 + x) = 3.4(5x + 10) (5 * 2.1 + x * 2.1) = 3.4(5x + 10) (10.5 + 2.1x) = 3.4(5x + 10) Reorder the terms: 10.5 + 2.1x = 3.4(10 + 5x) 10.5 + 2.1x = (10 * 3.4 + 5x * 3.4) 10.5 + 2.1x = (34 + 17x) Solving 10.5 + 2.1x = 34 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 10.5 + 2.1x + -17x = 34 + 17x + -17x Combine like terms: 2.1x + -17x = -14.9x 10.5 + -14.9x = 34 + 17x + -17x Combine like terms: 17x + -17x = 0 10.5 + -14.9x = 34 + 0 10.5 + -14.9x = 34 Add '-10.5' to each side of the equation. 10.5 + -10.5 + -14.9x = 34 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + -14.9x = 34 + -10.5 -14.9x = 34 + -10.5 Combine like terms: 34 + -10.5 = 23.5 -14.9x = 23.5 Divide each side by '-14.9'. x = -1.577181208 Simplifying x = -1.577181208
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