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Simplifying 3(x + 7) + 2 = 6x + -2 + 12x Reorder the terms: 3(7 + x) + 2 = 6x + -2 + 12x (7 * 3 + x * 3) + 2 = 6x + -2 + 12x (21 + 3x) + 2 = 6x + -2 + 12x Reorder the terms: 21 + 2 + 3x = 6x + -2 + 12x Combine like terms: 21 + 2 = 23 23 + 3x = 6x + -2 + 12x Reorder the terms: 23 + 3x = -2 + 6x + 12x Combine like terms: 6x + 12x = 18x 23 + 3x = -2 + 18x Solving 23 + 3x = -2 + 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. 23 + 3x + -18x = -2 + 18x + -18x Combine like terms: 3x + -18x = -15x 23 + -15x = -2 + 18x + -18x Combine like terms: 18x + -18x = 0 23 + -15x = -2 + 0 23 + -15x = -2 Add '-23' to each side of the equation. 23 + -23 + -15x = -2 + -23 Combine like terms: 23 + -23 = 0 0 + -15x = -2 + -23 -15x = -2 + -23 Combine like terms: -2 + -23 = -25 -15x = -25 Divide each side by '-15'. x = 1.666666667 Simplifying x = 1.666666667
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