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Simplifying 17(x + 6) = 6(3x + -5) Reorder the terms: 17(6 + x) = 6(3x + -5) (6 * 17 + x * 17) = 6(3x + -5) (102 + 17x) = 6(3x + -5) Reorder the terms: 102 + 17x = 6(-5 + 3x) 102 + 17x = (-5 * 6 + 3x * 6) 102 + 17x = (-30 + 18x) Solving 102 + 17x = -30 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 102 + 17x + -18x = -30 + 18x + -18x Combine like terms: 17x + -18x = -1x 102 + -1x = -30 + 18x + -18x Combine like terms: 18x + -18x = 0 102 + -1x = -30 + 0 102 + -1x = -30 Add '-102' to each side of the equation. 102 + -102 + -1x = -30 + -102 Combine like terms: 102 + -102 = 0 0 + -1x = -30 + -102 -1x = -30 + -102 Combine like terms: -30 + -102 = -132 -1x = -132 Divide each side by '-1'. x = 132 Simplifying x = 132
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