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Simplifying (0.500 + -1x) * 7.4 = 2x Reorder the terms for easier multiplication: 7.4(0.500 + -1x) = 2x (0.500 * 7.4 + -1x * 7.4) = 2x (3.7 + -7.4x) = 2x Solving 3.7 + -7.4x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3.7 + -7.4x + -2x = 2x + -2x Combine like terms: -7.4x + -2x = -9.4x 3.7 + -9.4x = 2x + -2x Combine like terms: 2x + -2x = 0 3.7 + -9.4x = 0 Add '-3.7' to each side of the equation. 3.7 + -3.7 + -9.4x = 0 + -3.7 Combine like terms: 3.7 + -3.7 = 0.0 0.0 + -9.4x = 0 + -3.7 -9.4x = 0 + -3.7 Combine like terms: 0 + -3.7 = -3.7 -9.4x = -3.7 Divide each side by '-9.4'. x = 0.3936170213 Simplifying x = 0.3936170213
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