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Simplifying 3(5a + 3b) + -8(2a + -5b) = x (5a * 3 + 3b * 3) + -8(2a + -5b) = x (15a + 9b) + -8(2a + -5b) = x 15a + 9b + (2a * -8 + -5b * -8) = x 15a + 9b + (-16a + 40b) = x Reorder the terms: 15a + -16a + 9b + 40b = x Combine like terms: 15a + -16a = -1a -1a + 9b + 40b = x Combine like terms: 9b + 40b = 49b -1a + 49b = x Solving -1a + 49b = x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-49b' to each side of the equation. -1a + 49b + -49b = -49b + x Combine like terms: 49b + -49b = 0 -1a + 0 = -49b + x -1a = -49b + x Divide each side by '-1'. a = 49b + -1x Simplifying a = 49b + -1x
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