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Simplifying 0.01(700 + -10x) = 5.4x + 400 (700 * 0.01 + -10x * 0.01) = 5.4x + 400 (7 + -0.1x) = 5.4x + 400 Reorder the terms: 7 + -0.1x = 400 + 5.4x Solving 7 + -0.1x = 400 + 5.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.4x' to each side of the equation. 7 + -0.1x + -5.4x = 400 + 5.4x + -5.4x Combine like terms: -0.1x + -5.4x = -5.5x 7 + -5.5x = 400 + 5.4x + -5.4x Combine like terms: 5.4x + -5.4x = 0.0 7 + -5.5x = 400 + 0.0 7 + -5.5x = 400 Add '-7' to each side of the equation. 7 + -7 + -5.5x = 400 + -7 Combine like terms: 7 + -7 = 0 0 + -5.5x = 400 + -7 -5.5x = 400 + -7 Combine like terms: 400 + -7 = 393 -5.5x = 393 Divide each side by '-5.5'. x = -71.45454545 Simplifying x = -71.45454545
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