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Simplifying 3(2x + -7) + 2(4x + -9) = 6(2x + -5) + 5 Reorder the terms: 3(-7 + 2x) + 2(4x + -9) = 6(2x + -5) + 5 (-7 * 3 + 2x * 3) + 2(4x + -9) = 6(2x + -5) + 5 (-21 + 6x) + 2(4x + -9) = 6(2x + -5) + 5 Reorder the terms: -21 + 6x + 2(-9 + 4x) = 6(2x + -5) + 5 -21 + 6x + (-9 * 2 + 4x * 2) = 6(2x + -5) + 5 -21 + 6x + (-18 + 8x) = 6(2x + -5) + 5 Reorder the terms: -21 + -18 + 6x + 8x = 6(2x + -5) + 5 Combine like terms: -21 + -18 = -39 -39 + 6x + 8x = 6(2x + -5) + 5 Combine like terms: 6x + 8x = 14x -39 + 14x = 6(2x + -5) + 5 Reorder the terms: -39 + 14x = 6(-5 + 2x) + 5 -39 + 14x = (-5 * 6 + 2x * 6) + 5 -39 + 14x = (-30 + 12x) + 5 Reorder the terms: -39 + 14x = -30 + 5 + 12x Combine like terms: -30 + 5 = -25 -39 + 14x = -25 + 12x Solving -39 + 14x = -25 + 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. -39 + 14x + -12x = -25 + 12x + -12x Combine like terms: 14x + -12x = 2x -39 + 2x = -25 + 12x + -12x Combine like terms: 12x + -12x = 0 -39 + 2x = -25 + 0 -39 + 2x = -25 Add '39' to each side of the equation. -39 + 39 + 2x = -25 + 39 Combine like terms: -39 + 39 = 0 0 + 2x = -25 + 39 2x = -25 + 39 Combine like terms: -25 + 39 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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