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Simplifying 3x + (x + 8) = 2x + -1(-6) Reorder the terms: 3x + (8 + x) = 2x + -1(-6) Remove parenthesis around (8 + x) 3x + 8 + x = 2x + -1(-6) Reorder the terms: 8 + 3x + x = 2x + -1(-6) Combine like terms: 3x + x = 4x 8 + 4x = 2x + -1(-6) Multiply -1 * -6 8 + 4x = 2x + 6 Reorder the terms: 8 + 4x = 6 + 2x Solving 8 + 4x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + 4x + -2x = 6 + 2x + -2x Combine like terms: 4x + -2x = 2x 8 + 2x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 2x = 6 + 0 8 + 2x = 6 Add '-8' to each side of the equation. 8 + -8 + 2x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 6 + -8 2x = 6 + -8 Combine like terms: 6 + -8 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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