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Simplifying -5 + 2x + -11 = -21 + (-7 + 3x) Reorder the terms: -5 + -11 + 2x = -21 + (-7 + 3x) Combine like terms: -5 + -11 = -16 -16 + 2x = -21 + (-7 + 3x) Remove parenthesis around (-7 + 3x) -16 + 2x = -21 + -7 + 3x Combine like terms: -21 + -7 = -28 -16 + 2x = -28 + 3x Solving -16 + 2x = -28 + 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. -16 + 2x + -3x = -28 + 3x + -3x Combine like terms: 2x + -3x = -1x -16 + -1x = -28 + 3x + -3x Combine like terms: 3x + -3x = 0 -16 + -1x = -28 + 0 -16 + -1x = -28 Add '16' to each side of the equation. -16 + 16 + -1x = -28 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = -28 + 16 -1x = -28 + 16 Combine like terms: -28 + 16 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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