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Simplifying x + -3(x + -1) + -37 = 24(x + 2) + -1(x + 7) Reorder the terms: x + -3(-1 + x) + -37 = 24(x + 2) + -1(x + 7) x + (-1 * -3 + x * -3) + -37 = 24(x + 2) + -1(x + 7) x + (3 + -3x) + -37 = 24(x + 2) + -1(x + 7) Reorder the terms: 3 + -37 + x + -3x = 24(x + 2) + -1(x + 7) Combine like terms: 3 + -37 = -34 -34 + x + -3x = 24(x + 2) + -1(x + 7) Combine like terms: x + -3x = -2x -34 + -2x = 24(x + 2) + -1(x + 7) Reorder the terms: -34 + -2x = 24(2 + x) + -1(x + 7) -34 + -2x = (2 * 24 + x * 24) + -1(x + 7) -34 + -2x = (48 + 24x) + -1(x + 7) Reorder the terms: -34 + -2x = 48 + 24x + -1(7 + x) -34 + -2x = 48 + 24x + (7 * -1 + x * -1) -34 + -2x = 48 + 24x + (-7 + -1x) Reorder the terms: -34 + -2x = 48 + -7 + 24x + -1x Combine like terms: 48 + -7 = 41 -34 + -2x = 41 + 24x + -1x Combine like terms: 24x + -1x = 23x -34 + -2x = 41 + 23x Solving -34 + -2x = 41 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. -34 + -2x + -23x = 41 + 23x + -23x Combine like terms: -2x + -23x = -25x -34 + -25x = 41 + 23x + -23x Combine like terms: 23x + -23x = 0 -34 + -25x = 41 + 0 -34 + -25x = 41 Add '34' to each side of the equation. -34 + 34 + -25x = 41 + 34 Combine like terms: -34 + 34 = 0 0 + -25x = 41 + 34 -25x = 41 + 34 Combine like terms: 41 + 34 = 75 -25x = 75 Divide each side by '-25'. x = -3 Simplifying x = -3
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