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Simplifying (x + -7) * r + a = x + 2a Reorder the terms: (-7 + x) * r + a = x + 2a Reorder the terms for easier multiplication: r(-7 + x) + a = x + 2a (-7 * r + x * r) + a = x + 2a (-7r + rx) + a = x + 2a Reorder the terms: a + -7r + rx = x + 2a Reorder the terms: a + -7r + rx = 2a + x Solving a + -7r + rx = 2a + x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. a + -7r + -2a + rx = 2a + -2a + x Reorder the terms: a + -2a + -7r + rx = 2a + -2a + x Combine like terms: a + -2a = -1a -1a + -7r + rx = 2a + -2a + x Combine like terms: 2a + -2a = 0 -1a + -7r + rx = 0 + x -1a + -7r + rx = x Add '7r' to each side of the equation. -1a + -7r + 7r + rx = 7r + x Combine like terms: -7r + 7r = 0 -1a + 0 + rx = 7r + x -1a + rx = 7r + x Add '-1rx' to each side of the equation. -1a + rx + -1rx = 7r + -1rx + x Combine like terms: rx + -1rx = 0 -1a + 0 = 7r + -1rx + x -1a = 7r + -1rx + x Divide each side by '-1'. a = -7r + rx + -1x Simplifying a = -7r + rx + -1x
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