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Simplifying 3x + 9 + -7x = -16 + 10 + -1x Reorder the terms: 9 + 3x + -7x = -16 + 10 + -1x Combine like terms: 3x + -7x = -4x 9 + -4x = -16 + 10 + -1x Combine like terms: -16 + 10 = -6 9 + -4x = -6 + -1x Solving 9 + -4x = -6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 9 + -4x + x = -6 + -1x + x Combine like terms: -4x + x = -3x 9 + -3x = -6 + -1x + x Combine like terms: -1x + x = 0 9 + -3x = -6 + 0 9 + -3x = -6 Add '-9' to each side of the equation. 9 + -9 + -3x = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = -6 + -9 -3x = -6 + -9 Combine like terms: -6 + -9 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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