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Simplifying 4(2x + 1) + -15 = 3(4a + -5) Reorder the terms: 4(1 + 2x) + -15 = 3(4a + -5) (1 * 4 + 2x * 4) + -15 = 3(4a + -5) (4 + 8x) + -15 = 3(4a + -5) Reorder the terms: 4 + -15 + 8x = 3(4a + -5) Combine like terms: 4 + -15 = -11 -11 + 8x = 3(4a + -5) Reorder the terms: -11 + 8x = 3(-5 + 4a) -11 + 8x = (-5 * 3 + 4a * 3) -11 + 8x = (-15 + 12a) Solving -11 + 8x = -15 + 12a Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 8x = -15 + 11 + 12a Combine like terms: -11 + 11 = 0 0 + 8x = -15 + 11 + 12a 8x = -15 + 11 + 12a Combine like terms: -15 + 11 = -4 8x = -4 + 12a Divide each side by '8'. x = -0.5 + 1.5a Simplifying x = -0.5 + 1.5a
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