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Simplifying (3x + -21) + (13) = 4x + -17 Reorder the terms: (-21 + 3x) + (13) = 4x + -17 Remove parenthesis around (-21 + 3x) -21 + 3x + (13) = 4x + -17 -21 + 3x + 13 = 4x + -17 Reorder the terms: -21 + 13 + 3x = 4x + -17 Combine like terms: -21 + 13 = -8 -8 + 3x = 4x + -17 Reorder the terms: -8 + 3x = -17 + 4x Solving -8 + 3x = -17 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 3x + -4x = -17 + 4x + -4x Combine like terms: 3x + -4x = -1x -8 + -1x = -17 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -1x = -17 + 0 -8 + -1x = -17 Add '8' to each side of the equation. -8 + 8 + -1x = -17 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -17 + 8 -1x = -17 + 8 Combine like terms: -17 + 8 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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