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Simplifying 3(x + -1a) + -5 = 3(ax + -4) Reorder the terms: 3(-1a + x) + -5 = 3(ax + -4) (-1a * 3 + x * 3) + -5 = 3(ax + -4) (-3a + 3x) + -5 = 3(ax + -4) Reorder the terms: -5 + -3a + 3x = 3(ax + -4) Reorder the terms: -5 + -3a + 3x = 3(-4 + ax) -5 + -3a + 3x = (-4 * 3 + ax * 3) -5 + -3a + 3x = (-12 + 3ax) Solving -5 + -3a + 3x = -12 + 3ax Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3ax' to each side of the equation. -5 + -3a + -3ax + 3x = -12 + 3ax + -3ax Combine like terms: 3ax + -3ax = 0 -5 + -3a + -3ax + 3x = -12 + 0 -5 + -3a + -3ax + 3x = -12 Add '5' to each side of the equation. -5 + -3a + -3ax + 5 + 3x = -12 + 5 Reorder the terms: -5 + 5 + -3a + -3ax + 3x = -12 + 5 Combine like terms: -5 + 5 = 0 0 + -3a + -3ax + 3x = -12 + 5 -3a + -3ax + 3x = -12 + 5 Combine like terms: -12 + 5 = -7 -3a + -3ax + 3x = -7 Add '-3x' to each side of the equation. -3a + -3ax + 3x + -3x = -7 + -3x Combine like terms: 3x + -3x = 0 -3a + -3ax + 0 = -7 + -3x -3a + -3ax = -7 + -3x Reorder the terms: 7 + -3a + -3ax + 3x = -7 + -3x + 7 + 3x Reorder the terms: 7 + -3a + -3ax + 3x = -7 + 7 + -3x + 3x Combine like terms: -7 + 7 = 0 7 + -3a + -3ax + 3x = 0 + -3x + 3x 7 + -3a + -3ax + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 7 + -3a + -3ax + 3x = 0 The solution to this equation could not be determined.
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