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Simplifying 2(3x + -7) = 4(3x + 7) Reorder the terms: 2(-7 + 3x) = 4(3x + 7) (-7 * 2 + 3x * 2) = 4(3x + 7) (-14 + 6x) = 4(3x + 7) Reorder the terms: -14 + 6x = 4(7 + 3x) -14 + 6x = (7 * 4 + 3x * 4) -14 + 6x = (28 + 12x) Solving -14 + 6x = 28 + 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 = 28 + 12x + -12x Combine like terms: 6x + -12x = -6x -14 + -6x = 28 + 12x + -12x Combine like terms: 12x + -12x = 0 -14 + -6x = 28 + 0 -14 + -6x = 28 Add '14' to each side of the equation. -14 + 14 + -6x = 28 + 14 Combine like terms: -14 + 14 = 0 0 + -6x = 28 + 14 -6x = 28 + 14 Combine like terms: 28 + 14 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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