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Simplifying 5.3(2x + -3.5) = 18.65 + 3.7x Reorder the terms: 5.3(-3.5 + 2x) = 18.65 + 3.7x (-3.5 * 5.3 + 2x * 5.3) = 18.65 + 3.7x (-18.55 + 10.6x) = 18.65 + 3.7x Solving -18.55 + 10.6x = 18.65 + 3.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.7x' to each side of the equation. -18.55 + 10.6x + -3.7x = 18.65 + 3.7x + -3.7x Combine like terms: 10.6x + -3.7x = 6.9x -18.55 + 6.9x = 18.65 + 3.7x + -3.7x Combine like terms: 3.7x + -3.7x = 0.0 -18.55 + 6.9x = 18.65 + 0.0 -18.55 + 6.9x = 18.65 Add '18.55' to each side of the equation. -18.55 + 18.55 + 6.9x = 18.65 + 18.55 Combine like terms: -18.55 + 18.55 = 0.00 0.00 + 6.9x = 18.65 + 18.55 6.9x = 18.65 + 18.55 Combine like terms: 18.65 + 18.55 = 37.2 6.9x = 37.2 Divide each side by '6.9'. x = 5.391304348 Simplifying x = 5.391304348
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