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Simplifying 3x + -1(2x + -5) = 4x + 23 Reorder the terms: 3x + -1(-5 + 2x) = 4x + 23 3x + (-5 * -1 + 2x * -1) = 4x + 23 3x + (5 + -2x) = 4x + 23 Reorder the terms: 5 + 3x + -2x = 4x + 23 Combine like terms: 3x + -2x = 1x 5 + 1x = 4x + 23 Reorder the terms: 5 + 1x = 23 + 4x Solving 5 + 1x = 23 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + 1x + -4x = 23 + 4x + -4x Combine like terms: 1x + -4x = -3x 5 + -3x = 23 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -3x = 23 + 0 5 + -3x = 23 Add '-5' to each side of the equation. 5 + -5 + -3x = 23 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 23 + -5 -3x = 23 + -5 Combine like terms: 23 + -5 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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