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Simplifying 5(3a + -2) = 22x + -55 + 8x Reorder the terms: 5(-2 + 3a) = 22x + -55 + 8x (-2 * 5 + 3a * 5) = 22x + -55 + 8x (-10 + 15a) = 22x + -55 + 8x Reorder the terms: -10 + 15a = -55 + 22x + 8x Combine like terms: 22x + 8x = 30x -10 + 15a = -55 + 30x Solving -10 + 15a = -55 + 30x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 15a = -55 + 10 + 30x Combine like terms: -10 + 10 = 0 0 + 15a = -55 + 10 + 30x 15a = -55 + 10 + 30x Combine like terms: -55 + 10 = -45 15a = -45 + 30x Divide each side by '15'. a = -3 + 2x Simplifying a = -3 + 2x
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