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Simplifying 117 = -1x + 3(1 + -6x) 117 = -1x + (1 * 3 + -6x * 3) 117 = -1x + (3 + -18x) Reorder the terms: 117 = 3 + -1x + -18x Combine like terms: -1x + -18x = -19x 117 = 3 + -19x Solving 117 = 3 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. 117 + 19x = 3 + -19x + 19x Combine like terms: -19x + 19x = 0 117 + 19x = 3 + 0 117 + 19x = 3 Add '-117' to each side of the equation. 117 + -117 + 19x = 3 + -117 Combine like terms: 117 + -117 = 0 0 + 19x = 3 + -117 19x = 3 + -117 Combine like terms: 3 + -117 = -114 19x = -114 Divide each side by '19'. x = -6 Simplifying x = -6
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