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Simplifying 23 + (2 + -4x) + -1(1 + -1x) = 5x + -2(x + -3) Remove parenthesis around (2 + -4x) 23 + 2 + -4x + -1(1 + -1x) = 5x + -2(x + -3) 23 + 2 + -4x + (1 * -1 + -1x * -1) = 5x + -2(x + -3) 23 + 2 + -4x + (-1 + 1x) = 5x + -2(x + -3) Reorder the terms: 23 + 2 + -1 + -4x + 1x = 5x + -2(x + -3) Combine like terms: 23 + 2 = 25 25 + -1 + -4x + 1x = 5x + -2(x + -3) Combine like terms: 25 + -1 = 24 24 + -4x + 1x = 5x + -2(x + -3) Combine like terms: -4x + 1x = -3x 24 + -3x = 5x + -2(x + -3) Reorder the terms: 24 + -3x = 5x + -2(-3 + x) 24 + -3x = 5x + (-3 * -2 + x * -2) 24 + -3x = 5x + (6 + -2x) Reorder the terms: 24 + -3x = 6 + 5x + -2x Combine like terms: 5x + -2x = 3x 24 + -3x = 6 + 3x Solving 24 + -3x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 24 + -3x + -3x = 6 + 3x + -3x Combine like terms: -3x + -3x = -6x 24 + -6x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + -6x = 6 + 0 24 + -6x = 6 Add '-24' to each side of the equation. 24 + -24 + -6x = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = 6 + -24 -6x = 6 + -24 Combine like terms: 6 + -24 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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