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