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Simplifying x + -1(4a + -7) = 5x + -1(x + 21) Reorder the terms: x + -1(-7 + 4a) = 5x + -1(x + 21) x + (-7 * -1 + 4a * -1) = 5x + -1(x + 21) x + (7 + -4a) = 5x + -1(x + 21) Reorder the terms: 7 + -4a + x = 5x + -1(x + 21) Reorder the terms: 7 + -4a + x = 5x + -1(21 + x) 7 + -4a + x = 5x + (21 * -1 + x * -1) 7 + -4a + x = 5x + (-21 + -1x) Reorder the terms: 7 + -4a + x = -21 + 5x + -1x Combine like terms: 5x + -1x = 4x 7 + -4a + x = -21 + 4x Solving 7 + -4a + x = -21 + 4x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -4a + -7 + x = -21 + -7 + 4x Reorder the terms: 7 + -7 + -4a + x = -21 + -7 + 4x Combine like terms: 7 + -7 = 0 0 + -4a + x = -21 + -7 + 4x -4a + x = -21 + -7 + 4x Combine like terms: -21 + -7 = -28 -4a + x = -28 + 4x Add '-1x' to each side of the equation. -4a + x + -1x = -28 + 4x + -1x Combine like terms: x + -1x = 0 -4a + 0 = -28 + 4x + -1x -4a = -28 + 4x + -1x Combine like terms: 4x + -1x = 3x -4a = -28 + 3x Divide each side by '-4'. a = 7 + -0.75x Simplifying a = 7 + -0.75x
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