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Simplifying 7x + -6(4x + 3) = 101 Reorder the terms: 7x + -6(3 + 4x) = 101 7x + (3 * -6 + 4x * -6) = 101 7x + (-18 + -24x) = 101 Reorder the terms: -18 + 7x + -24x = 101 Combine like terms: 7x + -24x = -17x -18 + -17x = 101 Solving -18 + -17x = 101 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -17x = 101 + 18 Combine like terms: -18 + 18 = 0 0 + -17x = 101 + 18 -17x = 101 + 18 Combine like terms: 101 + 18 = 119 -17x = 119 Divide each side by '-17'. x = -7 Simplifying x = -7
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