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Simplifying 0.8x + -0.7(20 + x) = -0.35(20) 0.8x + (20 * -0.7 + x * -0.7) = -0.35(20) 0.8x + (-14 + -0.7x) = -0.35(20) Reorder the terms: -14 + 0.8x + -0.7x = -0.35(20) Combine like terms: 0.8x + -0.7x = 0.1x -14 + 0.1x = -0.35(20) Multiply -0.35 * 20 -14 + 0.1x = -7 Solving -14 + 0.1x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 0.1x = -7 + 14 Combine like terms: -14 + 14 = 0 0 + 0.1x = -7 + 14 0.1x = -7 + 14 Combine like terms: -7 + 14 = 7 0.1x = 7 Divide each side by '0.1'. x = 70 Simplifying x = 70
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