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Simplifying 3x + -2(4x + 7) = 6(3x + -12) Reorder the terms: 3x + -2(7 + 4x) = 6(3x + -12) 3x + (7 * -2 + 4x * -2) = 6(3x + -12) 3x + (-14 + -8x) = 6(3x + -12) Reorder the terms: -14 + 3x + -8x = 6(3x + -12) Combine like terms: 3x + -8x = -5x -14 + -5x = 6(3x + -12) Reorder the terms: -14 + -5x = 6(-12 + 3x) -14 + -5x = (-12 * 6 + 3x * 6) -14 + -5x = (-72 + 18x) Solving -14 + -5x = -72 + 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. -14 + -5x + -18x = -72 + 18x + -18x Combine like terms: -5x + -18x = -23x -14 + -23x = -72 + 18x + -18x Combine like terms: 18x + -18x = 0 -14 + -23x = -72 + 0 -14 + -23x = -72 Add '14' to each side of the equation. -14 + 14 + -23x = -72 + 14 Combine like terms: -14 + 14 = 0 0 + -23x = -72 + 14 -23x = -72 + 14 Combine like terms: -72 + 14 = -58 -23x = -58 Divide each side by '-23'. x = 2.52173913 Simplifying x = 2.52173913
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