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Simplifying 107 = 6(3x + 7) + -7 Reorder the terms: 107 = 6(7 + 3x) + -7 107 = (7 * 6 + 3x * 6) + -7 107 = (42 + 18x) + -7 Reorder the terms: 107 = 42 + -7 + 18x Combine like terms: 42 + -7 = 35 107 = 35 + 18x Solving 107 = 35 + 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. 107 + -18x = 35 + 18x + -18x Combine like terms: 18x + -18x = 0 107 + -18x = 35 + 0 107 + -18x = 35 Add '-107' to each side of the equation. 107 + -107 + -18x = 35 + -107 Combine like terms: 107 + -107 = 0 0 + -18x = 35 + -107 -18x = 35 + -107 Combine like terms: 35 + -107 = -72 -18x = -72 Divide each side by '-18'. x = 4 Simplifying x = 4
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