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Simplifying 3x + (x + 7) = 2x + -1(-23) Reorder the terms: 3x + (7 + x) = 2x + -1(-23) Remove parenthesis around (7 + x) 3x + 7 + x = 2x + -1(-23) Reorder the terms: 7 + 3x + x = 2x + -1(-23) Combine like terms: 3x + x = 4x 7 + 4x = 2x + -1(-23) Multiply -1 * -23 7 + 4x = 2x + 23 Reorder the terms: 7 + 4x = 23 + 2x Solving 7 + 4x = 23 + 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. 7 + 4x + -2x = 23 + 2x + -2x Combine like terms: 4x + -2x = 2x 7 + 2x = 23 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 2x = 23 + 0 7 + 2x = 23 Add '-7' to each side of the equation. 7 + -7 + 2x = 23 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 23 + -7 2x = 23 + -7 Combine like terms: 23 + -7 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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