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Simplifying (5 + 3x) + -1(10a + -15) = -22 Remove parenthesis around (5 + 3x) 5 + 3x + -1(10a + -15) = -22 Reorder the terms: 5 + 3x + -1(-15 + 10a) = -22 5 + 3x + (-15 * -1 + 10a * -1) = -22 5 + 3x + (15 + -10a) = -22 Reorder the terms: 5 + 15 + -10a + 3x = -22 Combine like terms: 5 + 15 = 20 20 + -10a + 3x = -22 Solving 20 + -10a + 3x = -22 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -10a + -20 + 3x = -22 + -20 Reorder the terms: 20 + -20 + -10a + 3x = -22 + -20 Combine like terms: 20 + -20 = 0 0 + -10a + 3x = -22 + -20 -10a + 3x = -22 + -20 Combine like terms: -22 + -20 = -42 -10a + 3x = -42 Add '-3x' to each side of the equation. -10a + 3x + -3x = -42 + -3x Combine like terms: 3x + -3x = 0 -10a + 0 = -42 + -3x -10a = -42 + -3x Divide each side by '-10'. a = 4.2 + 0.3x Simplifying a = 4.2 + 0.3x
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