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Simplifying 40(0.2x + 3.7) = 0.7x + -6.7 Reorder the terms: 40(3.7 + 0.2x) = 0.7x + -6.7 (3.7 * 40 + 0.2x * 40) = 0.7x + -6.7 (148 + 8x) = 0.7x + -6.7 Reorder the terms: 148 + 8x = -6.7 + 0.7x Solving 148 + 8x = -6.7 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. 148 + 8x + -0.7x = -6.7 + 0.7x + -0.7x Combine like terms: 8x + -0.7x = 7.3x 148 + 7.3x = -6.7 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 148 + 7.3x = -6.7 + 0.0 148 + 7.3x = -6.7 Add '-148' to each side of the equation. 148 + -148 + 7.3x = -6.7 + -148 Combine like terms: 148 + -148 = 0 0 + 7.3x = -6.7 + -148 7.3x = -6.7 + -148 Combine like terms: -6.7 + -148 = -154.7 7.3x = -154.7 Divide each side by '7.3'. x = -21.19178082 Simplifying x = -21.19178082
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