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Simplifying 3.4(2x + 5) = -0.2(2x + 5) Reorder the terms: 3.4(5 + 2x) = -0.2(2x + 5) (5 * 3.4 + 2x * 3.4) = -0.2(2x + 5) (17 + 6.8x) = -0.2(2x + 5) Reorder the terms: 17 + 6.8x = -0.2(5 + 2x) 17 + 6.8x = (5 * -0.2 + 2x * -0.2) 17 + 6.8x = (-1 + -0.4x) Solving 17 + 6.8x = -1 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. 17 + 6.8x + 0.4x = -1 + -0.4x + 0.4x Combine like terms: 6.8x + 0.4x = 7.2x 17 + 7.2x = -1 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 17 + 7.2x = -1 + 0.0 17 + 7.2x = -1 Add '-17' to each side of the equation. 17 + -17 + 7.2x = -1 + -17 Combine like terms: 17 + -17 = 0 0 + 7.2x = -1 + -17 7.2x = -1 + -17 Combine like terms: -1 + -17 = -18 7.2x = -18 Divide each side by '7.2'. x = -2.5 Simplifying x = -2.5
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