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Simplifying 3(x + 6) + -4 = 6x + 1 Reorder the terms: 3(6 + x) + -4 = 6x + 1 (6 * 3 + x * 3) + -4 = 6x + 1 (18 + 3x) + -4 = 6x + 1 Reorder the terms: 18 + -4 + 3x = 6x + 1 Combine like terms: 18 + -4 = 14 14 + 3x = 6x + 1 Reorder the terms: 14 + 3x = 1 + 6x Solving 14 + 3x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 14 + 3x + -6x = 1 + 6x + -6x Combine like terms: 3x + -6x = -3x 14 + -3x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + -3x = 1 + 0 14 + -3x = 1 Add '-14' to each side of the equation. 14 + -14 + -3x = 1 + -14 Combine like terms: 14 + -14 = 0 0 + -3x = 1 + -14 -3x = 1 + -14 Combine like terms: 1 + -14 = -13 -3x = -13 Divide each side by '-3'. x = 4.333333333 Simplifying x = 4.333333333
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