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Simplifying 5(a + -1) + 3 = 4(x + -2) Reorder the terms: 5(-1 + a) + 3 = 4(x + -2) (-1 * 5 + a * 5) + 3 = 4(x + -2) (-5 + 5a) + 3 = 4(x + -2) Reorder the terms: -5 + 3 + 5a = 4(x + -2) Combine like terms: -5 + 3 = -2 -2 + 5a = 4(x + -2) Reorder the terms: -2 + 5a = 4(-2 + x) -2 + 5a = (-2 * 4 + x * 4) -2 + 5a = (-8 + 4x) Solving -2 + 5a = -8 + 4x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5a = -8 + 2 + 4x Combine like terms: -2 + 2 = 0 0 + 5a = -8 + 2 + 4x 5a = -8 + 2 + 4x Combine like terms: -8 + 2 = -6 5a = -6 + 4x Divide each side by '5'. a = -1.2 + 0.8x Simplifying a = -1.2 + 0.8x
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