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Simplifying 2[3x + -7] = 4[3x + 2] Reorder the terms: 2[-7 + 3x] = 4[3x + 2] [-7 * 2 + 3x * 2] = 4[3x + 2] [-14 + 6x] = 4[3x + 2] Reorder the terms: -14 + 6x = 4[2 + 3x] -14 + 6x = [2 * 4 + 3x * 4] -14 + 6x = [8 + 12x] Solving -14 + 6x = 8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -14 + 6x + -12x = 8 + 12x + -12x Combine like terms: 6x + -12x = -6x -14 + -6x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 -14 + -6x = 8 + 0 -14 + -6x = 8 Add '14' to each side of the equation. -14 + 14 + -6x = 8 + 14 Combine like terms: -14 + 14 = 0 0 + -6x = 8 + 14 -6x = 8 + 14 Combine like terms: 8 + 14 = 22 -6x = 22 Divide each side by '-6'. x = -3.666666667 Simplifying x = -3.666666667
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