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Simplifying 2(7x + -6) + 8 = 3(4x + 9) + -3 Reorder the terms: 2(-6 + 7x) + 8 = 3(4x + 9) + -3 (-6 * 2 + 7x * 2) + 8 = 3(4x + 9) + -3 (-12 + 14x) + 8 = 3(4x + 9) + -3 Reorder the terms: -12 + 8 + 14x = 3(4x + 9) + -3 Combine like terms: -12 + 8 = -4 -4 + 14x = 3(4x + 9) + -3 Reorder the terms: -4 + 14x = 3(9 + 4x) + -3 -4 + 14x = (9 * 3 + 4x * 3) + -3 -4 + 14x = (27 + 12x) + -3 Reorder the terms: -4 + 14x = 27 + -3 + 12x Combine like terms: 27 + -3 = 24 -4 + 14x = 24 + 12x Solving -4 + 14x = 24 + 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. -4 + 14x + -12x = 24 + 12x + -12x Combine like terms: 14x + -12x = 2x -4 + 2x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 -4 + 2x = 24 + 0 -4 + 2x = 24 Add '4' to each side of the equation. -4 + 4 + 2x = 24 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 24 + 4 2x = 24 + 4 Combine like terms: 24 + 4 = 28 2x = 28 Divide each side by '2'. x = 14 Simplifying x = 14
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