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Simplifying 5x + (x + 6) = 2x + -1(34) Reorder the terms: 5x + (6 + x) = 2x + -1(34) Remove parenthesis around (6 + x) 5x + 6 + x = 2x + -1(34) Reorder the terms: 6 + 5x + x = 2x + -1(34) Combine like terms: 5x + x = 6x 6 + 6x = 2x + -1(34) Multiply -1 * 34 6 + 6x = 2x + -34 Reorder the terms: 6 + 6x = -34 + 2x Solving 6 + 6x = -34 + 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. 6 + 6x + -2x = -34 + 2x + -2x Combine like terms: 6x + -2x = 4x 6 + 4x = -34 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 4x = -34 + 0 6 + 4x = -34 Add '-6' to each side of the equation. 6 + -6 + 4x = -34 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = -34 + -6 4x = -34 + -6 Combine like terms: -34 + -6 = -40 4x = -40 Divide each side by '4'. x = -10 Simplifying x = -10
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