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Simplifying 4x + 13 + 9x + -21 = 18x + -43 Reorder the terms: 13 + -21 + 4x + 9x = 18x + -43 Combine like terms: 13 + -21 = -8 -8 + 4x + 9x = 18x + -43 Combine like terms: 4x + 9x = 13x -8 + 13x = 18x + -43 Reorder the terms: -8 + 13x = -43 + 18x Solving -8 + 13x = -43 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -8 + 13x + -18x = -43 + 18x + -18x Combine like terms: 13x + -18x = -5x -8 + -5x = -43 + 18x + -18x Combine like terms: 18x + -18x = 0 -8 + -5x = -43 + 0 -8 + -5x = -43 Add '8' to each side of the equation. -8 + 8 + -5x = -43 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = -43 + 8 -5x = -43 + 8 Combine like terms: -43 + 8 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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