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Simplifying 17 + 3x = 6(-1x + 8) + -67 Reorder the terms: 17 + 3x = 6(8 + -1x) + -67 17 + 3x = (8 * 6 + -1x * 6) + -67 17 + 3x = (48 + -6x) + -67 Reorder the terms: 17 + 3x = 48 + -67 + -6x Combine like terms: 48 + -67 = -19 17 + 3x = -19 + -6x Solving 17 + 3x = -19 + -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 + 3x + 6x = -19 + -6x + 6x Combine like terms: 3x + 6x = 9x 17 + 9x = -19 + -6x + 6x Combine like terms: -6x + 6x = 0 17 + 9x = -19 + 0 17 + 9x = -19 Add '-17' to each side of the equation. 17 + -17 + 9x = -19 + -17 Combine like terms: 17 + -17 = 0 0 + 9x = -19 + -17 9x = -19 + -17 Combine like terms: -19 + -17 = -36 9x = -36 Divide each side by '9'. x = -4 Simplifying x = -4
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