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Simplifying 24(x + -1) + 23 = 4 + -1(x + 30) Reorder the terms: 24(-1 + x) + 23 = 4 + -1(x + 30) (-1 * 24 + x * 24) + 23 = 4 + -1(x + 30) (-24 + 24x) + 23 = 4 + -1(x + 30) Reorder the terms: -24 + 23 + 24x = 4 + -1(x + 30) Combine like terms: -24 + 23 = -1 -1 + 24x = 4 + -1(x + 30) Reorder the terms: -1 + 24x = 4 + -1(30 + x) -1 + 24x = 4 + (30 * -1 + x * -1) -1 + 24x = 4 + (-30 + -1x) Combine like terms: 4 + -30 = -26 -1 + 24x = -26 + -1x Solving -1 + 24x = -26 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -1 + 24x + x = -26 + -1x + x Combine like terms: 24x + x = 25x -1 + 25x = -26 + -1x + x Combine like terms: -1x + x = 0 -1 + 25x = -26 + 0 -1 + 25x = -26 Add '1' to each side of the equation. -1 + 1 + 25x = -26 + 1 Combine like terms: -1 + 1 = 0 0 + 25x = -26 + 1 25x = -26 + 1 Combine like terms: -26 + 1 = -25 25x = -25 Divide each side by '25'. x = -1 Simplifying x = -1
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