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Simplifying 5.4(4.2x + -10) = -6x + 5.6 Reorder the terms: 5.4(-10 + 4.2x) = -6x + 5.6 (-10 * 5.4 + 4.2x * 5.4) = -6x + 5.6 (-54 + 22.68x) = -6x + 5.6 Reorder the terms: -54 + 22.68x = 5.6 + -6x Solving -54 + 22.68x = 5.6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -54 + 22.68x + 6x = 5.6 + -6x + 6x Combine like terms: 22.68x + 6x = 28.68x -54 + 28.68x = 5.6 + -6x + 6x Combine like terms: -6x + 6x = 0 -54 + 28.68x = 5.6 + 0 -54 + 28.68x = 5.6 Add '54' to each side of the equation. -54 + 54 + 28.68x = 5.6 + 54 Combine like terms: -54 + 54 = 0 0 + 28.68x = 5.6 + 54 28.68x = 5.6 + 54 Combine like terms: 5.6 + 54 = 59.6 28.68x = 59.6 Divide each side by '28.68'. x = 2.078103208 Simplifying x = 2.078103208
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