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Simplifying -7(a + 1) + 5(2x + -3) = 8 Reorder the terms: -7(1 + a) + 5(2x + -3) = 8 (1 * -7 + a * -7) + 5(2x + -3) = 8 (-7 + -7a) + 5(2x + -3) = 8 Reorder the terms: -7 + -7a + 5(-3 + 2x) = 8 -7 + -7a + (-3 * 5 + 2x * 5) = 8 -7 + -7a + (-15 + 10x) = 8 Reorder the terms: -7 + -15 + -7a + 10x = 8 Combine like terms: -7 + -15 = -22 -22 + -7a + 10x = 8 Solving -22 + -7a + 10x = 8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '22' to each side of the equation. -22 + -7a + 22 + 10x = 8 + 22 Reorder the terms: -22 + 22 + -7a + 10x = 8 + 22 Combine like terms: -22 + 22 = 0 0 + -7a + 10x = 8 + 22 -7a + 10x = 8 + 22 Combine like terms: 8 + 22 = 30 -7a + 10x = 30 Add '-10x' to each side of the equation. -7a + 10x + -10x = 30 + -10x Combine like terms: 10x + -10x = 0 -7a + 0 = 30 + -10x -7a = 30 + -10x Divide each side by '-7'. a = -4.285714286 + 1.428571429x Simplifying a = -4.285714286 + 1.428571429x
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