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Simplifying x + -1[x + 17] = 2[11 + -3x] Reorder the terms: x + -1[17 + x] = 2[11 + -3x] x + [17 * -1 + x * -1] = 2[11 + -3x] x + [-17 + -1x] = 2[11 + -3x] Reorder the terms: -17 + x + -1x = 2[11 + -3x] Combine like terms: x + -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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