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Simplifying 16x + -6 = 17 + -1(x + 6) Reorder the terms: -6 + 16x = 17 + -1(x + 6) Reorder the terms: -6 + 16x = 17 + -1(6 + x) -6 + 16x = 17 + (6 * -1 + x * -1) -6 + 16x = 17 + (-6 + -1x) Combine like terms: 17 + -6 = 11 -6 + 16x = 11 + -1x Solving -6 + 16x = 11 + -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. -6 + 16x + x = 11 + -1x + x Combine like terms: 16x + x = 17x -6 + 17x = 11 + -1x + x Combine like terms: -1x + x = 0 -6 + 17x = 11 + 0 -6 + 17x = 11 Add '6' to each side of the equation. -6 + 6 + 17x = 11 + 6 Combine like terms: -6 + 6 = 0 0 + 17x = 11 + 6 17x = 11 + 6 Combine like terms: 11 + 6 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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