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Simplifying 4(2a + -1) = -10(x + -5) Reorder the terms: 4(-1 + 2a) = -10(x + -5) (-1 * 4 + 2a * 4) = -10(x + -5) (-4 + 8a) = -10(x + -5) Reorder the terms: -4 + 8a = -10(-5 + x) -4 + 8a = (-5 * -10 + x * -10) -4 + 8a = (50 + -10x) Solving -4 + 8a = 50 + -10x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 8a = 50 + 4 + -10x Combine like terms: -4 + 4 = 0 0 + 8a = 50 + 4 + -10x 8a = 50 + 4 + -10x Combine like terms: 50 + 4 = 54 8a = 54 + -10x Divide each side by '8'. a = 6.75 + -1.25x Simplifying a = 6.75 + -1.25x
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