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Simplifying 0.70(20 + x) = 0.30(2x + -1) (20 * 0.70 + x * 0.70) = 0.30(2x + -1) (14 + 0.70x) = 0.30(2x + -1) Reorder the terms: 14 + 0.70x = 0.30(-1 + 2x) 14 + 0.70x = (-1 * 0.30 + 2x * 0.30) 14 + 0.70x = (-0.3 + 0.6x) Solving 14 + 0.70x = -0.3 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 14 + 0.70x + -0.6x = -0.3 + 0.6x + -0.6x Combine like terms: 0.70x + -0.6x = 0.1x 14 + 0.1x = -0.3 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 14 + 0.1x = -0.3 + 0.0 14 + 0.1x = -0.3 Add '-14' to each side of the equation. 14 + -14 + 0.1x = -0.3 + -14 Combine like terms: 14 + -14 = 0 0 + 0.1x = -0.3 + -14 0.1x = -0.3 + -14 Combine like terms: -0.3 + -14 = -14.3 0.1x = -14.3 Divide each side by '0.1'. x = -143 Simplifying x = -143
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