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Simplifying 0.7(-0.08 + 7x) = 5.1x (-0.08 * 0.7 + 7x * 0.7) = 5.1x (-0.056 + 4.9x) = 5.1x Solving -0.056 + 4.9x = 5.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.1x' to each side of the equation. -0.056 + 4.9x + -5.1x = 5.1x + -5.1x Combine like terms: 4.9x + -5.1x = -0.2x -0.056 + -0.2x = 5.1x + -5.1x Combine like terms: 5.1x + -5.1x = 0.0 -0.056 + -0.2x = 0.0 Add '0.056' to each side of the equation. -0.056 + 0.056 + -0.2x = 0.0 + 0.056 Combine like terms: -0.056 + 0.056 = 0.000 0.000 + -0.2x = 0.0 + 0.056 -0.2x = 0.0 + 0.056 Combine like terms: 0.0 + 0.056 = 0.056 -0.2x = 0.056 Divide each side by '-0.2'. x = -0.28 Simplifying x = -0.28
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