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Simplifying x + 6 = 9(2x + 3) + -4 Reorder the terms: 6 + x = 9(2x + 3) + -4 Reorder the terms: 6 + x = 9(3 + 2x) + -4 6 + x = (3 * 9 + 2x * 9) + -4 6 + x = (27 + 18x) + -4 Reorder the terms: 6 + x = 27 + -4 + 18x Combine like terms: 27 + -4 = 23 6 + x = 23 + 18x Solving 6 + x = 23 + 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. 6 + x + -18x = 23 + 18x + -18x Combine like terms: x + -18x = -17x 6 + -17x = 23 + 18x + -18x Combine like terms: 18x + -18x = 0 6 + -17x = 23 + 0 6 + -17x = 23 Add '-6' to each side of the equation. 6 + -6 + -17x = 23 + -6 Combine like terms: 6 + -6 = 0 0 + -17x = 23 + -6 -17x = 23 + -6 Combine like terms: 23 + -6 = 17 -17x = 17 Divide each side by '-17'. x = -1 Simplifying x = -1
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