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Simplifying 34x + -16 = 9x + 31x + 38 Reorder the terms: -16 + 34x = 9x + 31x + 38 Reorder the terms: -16 + 34x = 38 + 9x + 31x Combine like terms: 9x + 31x = 40x -16 + 34x = 38 + 40x Solving -16 + 34x = 38 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -16 + 34x + -40x = 38 + 40x + -40x Combine like terms: 34x + -40x = -6x -16 + -6x = 38 + 40x + -40x Combine like terms: 40x + -40x = 0 -16 + -6x = 38 + 0 -16 + -6x = 38 Add '16' to each side of the equation. -16 + 16 + -6x = 38 + 16 Combine like terms: -16 + 16 = 0 0 + -6x = 38 + 16 -6x = 38 + 16 Combine like terms: 38 + 16 = 54 -6x = 54 Divide each side by '-6'. x = -9 Simplifying x = -9
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