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Simplifying 1x + -1(1x + 17) = 2(11 + -3x) Reorder the terms: 1x + -1(17 + 1x) = 2(11 + -3x) 1x + (17 * -1 + 1x * -1) = 2(11 + -3x) 1x + (-17 + -1x) = 2(11 + -3x) Reorder the terms: -17 + 1x + -1x = 2(11 + -3x) Combine like terms: 1x + -1x = 0 -17 + 0 = 2(11 + -3x) -17 = 2(11 + -3x) -17 = (11 * 2 + -3x * 2) -17 = (22 + -6x) Solving -17 = 22 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -17 + 6x = 22 + -6x + 6x Combine like terms: -6x + 6x = 0 -17 + 6x = 22 + 0 -17 + 6x = 22 Add '17' to each side of the equation. -17 + 17 + 6x = 22 + 17 Combine like terms: -17 + 17 = 0 0 + 6x = 22 + 17 6x = 22 + 17 Combine like terms: 22 + 17 = 39 6x = 39 Divide each side by '6'. x = 6.5 Simplifying x = 6.5
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