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