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Simplifying 3(2x + -7) + 7 = 2(6x + 4) + 6x + -5 Reorder the terms: 3(-7 + 2x) + 7 = 2(6x + 4) + 6x + -5 (-7 * 3 + 2x * 3) + 7 = 2(6x + 4) + 6x + -5 (-21 + 6x) + 7 = 2(6x + 4) + 6x + -5 Reorder the terms: -21 + 7 + 6x = 2(6x + 4) + 6x + -5 Combine like terms: -21 + 7 = -14 -14 + 6x = 2(6x + 4) + 6x + -5 Reorder the terms: -14 + 6x = 2(4 + 6x) + 6x + -5 -14 + 6x = (4 * 2 + 6x * 2) + 6x + -5 -14 + 6x = (8 + 12x) + 6x + -5 Reorder the terms: -14 + 6x = 8 + -5 + 12x + 6x Combine like terms: 8 + -5 = 3 -14 + 6x = 3 + 12x + 6x Combine like terms: 12x + 6x = 18x -14 + 6x = 3 + 18x Solving -14 + 6x = 3 + 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 + 6x + -18x = 3 + 18x + -18x Combine like terms: 6x + -18x = -12x -14 + -12x = 3 + 18x + -18x Combine like terms: 18x + -18x = 0 -14 + -12x = 3 + 0 -14 + -12x = 3 Add '14' to each side of the equation. -14 + 14 + -12x = 3 + 14 Combine like terms: -14 + 14 = 0 0 + -12x = 3 + 14 -12x = 3 + 14 Combine like terms: 3 + 14 = 17 -12x = 17 Divide each side by '-12'. x = -1.416666667 Simplifying x = -1.416666667
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