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Simplifying (3x + 21) + (2x + -10) = x + -5 Reorder the terms: (21 + 3x) + (2x + -10) = x + -5 Remove parenthesis around (21 + 3x) 21 + 3x + (2x + -10) = x + -5 Reorder the terms: 21 + 3x + (-10 + 2x) = x + -5 Remove parenthesis around (-10 + 2x) 21 + 3x + -10 + 2x = x + -5 Reorder the terms: 21 + -10 + 3x + 2x = x + -5 Combine like terms: 21 + -10 = 11 11 + 3x + 2x = x + -5 Combine like terms: 3x + 2x = 5x 11 + 5x = x + -5 Reorder the terms: 11 + 5x = -5 + x Solving 11 + 5x = -5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 11 + 5x + -1x = -5 + x + -1x Combine like terms: 5x + -1x = 4x 11 + 4x = -5 + x + -1x Combine like terms: x + -1x = 0 11 + 4x = -5 + 0 11 + 4x = -5 Add '-11' to each side of the equation. 11 + -11 + 4x = -5 + -11 Combine like terms: 11 + -11 = 0 0 + 4x = -5 + -11 4x = -5 + -11 Combine like terms: -5 + -11 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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