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Simplifying 7 + -2x + 9 = 15x + -5 + -14x Reorder the terms: 7 + 9 + -2x = 15x + -5 + -14x Combine like terms: 7 + 9 = 16 16 + -2x = 15x + -5 + -14x Reorder the terms: 16 + -2x = -5 + 15x + -14x Combine like terms: 15x + -14x = 1x 16 + -2x = -5 + 1x Solving 16 + -2x = -5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 16 + -2x + -1x = -5 + 1x + -1x Combine like terms: -2x + -1x = -3x 16 + -3x = -5 + 1x + -1x Combine like terms: 1x + -1x = 0 16 + -3x = -5 + 0 16 + -3x = -5 Add '-16' to each side of the equation. 16 + -16 + -3x = -5 + -16 Combine like terms: 16 + -16 = 0 0 + -3x = -5 + -16 -3x = -5 + -16 Combine like terms: -5 + -16 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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