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Simplifying 2x + 3 = 23 + -1(2x + -6) Reorder the terms: 3 + 2x = 23 + -1(2x + -6) Reorder the terms: 3 + 2x = 23 + -1(-6 + 2x) 3 + 2x = 23 + (-6 * -1 + 2x * -1) 3 + 2x = 23 + (6 + -2x) Combine like terms: 23 + 6 = 29 3 + 2x = 29 + -2x Solving 3 + 2x = 29 + -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. 3 + 2x + 2x = 29 + -2x + 2x Combine like terms: 2x + 2x = 4x 3 + 4x = 29 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 4x = 29 + 0 3 + 4x = 29 Add '-3' to each side of the equation. 3 + -3 + 4x = 29 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 29 + -3 4x = 29 + -3 Combine like terms: 29 + -3 = 26 4x = 26 Divide each side by '4'. x = 6.5 Simplifying x = 6.5
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