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Simplifying 3(x + -7) + -11 = 24x + -263 Reorder the terms: 3(-7 + x) + -11 = 24x + -263 (-7 * 3 + x * 3) + -11 = 24x + -263 (-21 + 3x) + -11 = 24x + -263 Reorder the terms: -21 + -11 + 3x = 24x + -263 Combine like terms: -21 + -11 = -32 -32 + 3x = 24x + -263 Reorder the terms: -32 + 3x = -263 + 24x Solving -32 + 3x = -263 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -32 + 3x + -24x = -263 + 24x + -24x Combine like terms: 3x + -24x = -21x -32 + -21x = -263 + 24x + -24x Combine like terms: 24x + -24x = 0 -32 + -21x = -263 + 0 -32 + -21x = -263 Add '32' to each side of the equation. -32 + 32 + -21x = -263 + 32 Combine like terms: -32 + 32 = 0 0 + -21x = -263 + 32 -21x = -263 + 32 Combine like terms: -263 + 32 = -231 -21x = -231 Divide each side by '-21'. x = 11 Simplifying x = 11
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