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Simplifying 5x + -13 + -3x = 9x + 43 Reorder the terms: -13 + 5x + -3x = 9x + 43 Combine like terms: 5x + -3x = 2x -13 + 2x = 9x + 43 Reorder the terms: -13 + 2x = 43 + 9x Solving -13 + 2x = 43 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -13 + 2x + -9x = 43 + 9x + -9x Combine like terms: 2x + -9x = -7x -13 + -7x = 43 + 9x + -9x Combine like terms: 9x + -9x = 0 -13 + -7x = 43 + 0 -13 + -7x = 43 Add '13' to each side of the equation. -13 + 13 + -7x = 43 + 13 Combine like terms: -13 + 13 = 0 0 + -7x = 43 + 13 -7x = 43 + 13 Combine like terms: 43 + 13 = 56 -7x = 56 Divide each side by '-7'. x = -8 Simplifying x = -8
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