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Simplifying 5.3(6.8x + -3.5) = 1.334 + 2.9x Reorder the terms: 5.3(-3.5 + 6.8x) = 1.334 + 2.9x (-3.5 * 5.3 + 6.8x * 5.3) = 1.334 + 2.9x (-18.55 + 36.04x) = 1.334 + 2.9x Solving -18.55 + 36.04x = 1.334 + 2.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.9x' to each side of the equation. -18.55 + 36.04x + -2.9x = 1.334 + 2.9x + -2.9x Combine like terms: 36.04x + -2.9x = 33.14x -18.55 + 33.14x = 1.334 + 2.9x + -2.9x Combine like terms: 2.9x + -2.9x = 0.0 -18.55 + 33.14x = 1.334 + 0.0 -18.55 + 33.14x = 1.334 Add '18.55' to each side of the equation. -18.55 + 18.55 + 33.14x = 1.334 + 18.55 Combine like terms: -18.55 + 18.55 = 0.00 0.00 + 33.14x = 1.334 + 18.55 33.14x = 1.334 + 18.55 Combine like terms: 1.334 + 18.55 = 19.884 33.14x = 19.884 Divide each side by '33.14'. x = 0.6 Simplifying x = 0.6
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