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Simplifying 3x + -9x + 16 = 2 + -1(14x + -5) Reorder the terms: 16 + 3x + -9x = 2 + -1(14x + -5) Combine like terms: 3x + -9x = -6x 16 + -6x = 2 + -1(14x + -5) Reorder the terms: 16 + -6x = 2 + -1(-5 + 14x) 16 + -6x = 2 + (-5 * -1 + 14x * -1) 16 + -6x = 2 + (5 + -14x) Combine like terms: 2 + 5 = 7 16 + -6x = 7 + -14x Solving 16 + -6x = 7 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 16 + -6x + 14x = 7 + -14x + 14x Combine like terms: -6x + 14x = 8x 16 + 8x = 7 + -14x + 14x Combine like terms: -14x + 14x = 0 16 + 8x = 7 + 0 16 + 8x = 7 Add '-16' to each side of the equation. 16 + -16 + 8x = 7 + -16 Combine like terms: 16 + -16 = 0 0 + 8x = 7 + -16 8x = 7 + -16 Combine like terms: 7 + -16 = -9 8x = -9 Divide each side by '8'. x = -1.125 Simplifying x = -1.125
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