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Simplifying 2(3x + -7) + 4(3x) = 6(5x + 9) + 28 Reorder the terms: 2(-7 + 3x) + 4(3x) = 6(5x + 9) + 28 (-7 * 2 + 3x * 2) + 4(3x) = 6(5x + 9) + 28 (-14 + 6x) + 4(3x) = 6(5x + 9) + 28 Remove parenthesis around (3x) -14 + 6x + 4 * 3x = 6(5x + 9) + 28 Multiply 4 * 3 -14 + 6x + 12x = 6(5x + 9) + 28 Combine like terms: 6x + 12x = 18x -14 + 18x = 6(5x + 9) + 28 Reorder the terms: -14 + 18x = 6(9 + 5x) + 28 -14 + 18x = (9 * 6 + 5x * 6) + 28 -14 + 18x = (54 + 30x) + 28 Reorder the terms: -14 + 18x = 54 + 28 + 30x Combine like terms: 54 + 28 = 82 -14 + 18x = 82 + 30x Solving -14 + 18x = 82 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -14 + 18x + -30x = 82 + 30x + -30x Combine like terms: 18x + -30x = -12x -14 + -12x = 82 + 30x + -30x Combine like terms: 30x + -30x = 0 -14 + -12x = 82 + 0 -14 + -12x = 82 Add '14' to each side of the equation. -14 + 14 + -12x = 82 + 14 Combine like terms: -14 + 14 = 0 0 + -12x = 82 + 14 -12x = 82 + 14 Combine like terms: 82 + 14 = 96 -12x = 96 Divide each side by '-12'. x = -8 Simplifying x = -8
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