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Simplifying 2x + -3 = 23 + -2(x + -5) Reorder the terms: -3 + 2x = 23 + -2(x + -5) Reorder the terms: -3 + 2x = 23 + -2(-5 + x) -3 + 2x = 23 + (-5 * -2 + x * -2) -3 + 2x = 23 + (10 + -2x) Combine like terms: 23 + 10 = 33 -3 + 2x = 33 + -2x Solving -3 + 2x = 33 + -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 = 33 + -2x + 2x Combine like terms: 2x + 2x = 4x -3 + 4x = 33 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 4x = 33 + 0 -3 + 4x = 33 Add '3' to each side of the equation. -3 + 3 + 4x = 33 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 33 + 3 4x = 33 + 3 Combine like terms: 33 + 3 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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