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Simplifying 10x + 16 = -1(x + 17) Reorder the terms: 16 + 10x = -1(x + 17) Reorder the terms: 16 + 10x = -1(17 + x) 16 + 10x = (17 * -1 + x * -1) 16 + 10x = (-17 + -1x) Solving 16 + 10x = -17 + -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. 16 + 10x + x = -17 + -1x + x Combine like terms: 10x + x = 11x 16 + 11x = -17 + -1x + x Combine like terms: -1x + x = 0 16 + 11x = -17 + 0 16 + 11x = -17 Add '-16' to each side of the equation. 16 + -16 + 11x = -17 + -16 Combine like terms: 16 + -16 = 0 0 + 11x = -17 + -16 11x = -17 + -16 Combine like terms: -17 + -16 = -33 11x = -33 Divide each side by '11'. x = -3 Simplifying x = -3
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