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Simplifying 6x + -7(2x + -3) = 3(4x + -3) Reorder the terms: 6x + -7(-3 + 2x) = 3(4x + -3) 6x + (-3 * -7 + 2x * -7) = 3(4x + -3) 6x + (21 + -14x) = 3(4x + -3) Reorder the terms: 21 + 6x + -14x = 3(4x + -3) Combine like terms: 6x + -14x = -8x 21 + -8x = 3(4x + -3) Reorder the terms: 21 + -8x = 3(-3 + 4x) 21 + -8x = (-3 * 3 + 4x * 3) 21 + -8x = (-9 + 12x) Solving 21 + -8x = -9 + 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. 21 + -8x + -12x = -9 + 12x + -12x Combine like terms: -8x + -12x = -20x 21 + -20x = -9 + 12x + -12x Combine like terms: 12x + -12x = 0 21 + -20x = -9 + 0 21 + -20x = -9 Add '-21' to each side of the equation. 21 + -21 + -20x = -9 + -21 Combine like terms: 21 + -21 = 0 0 + -20x = -9 + -21 -20x = -9 + -21 Combine like terms: -9 + -21 = -30 -20x = -30 Divide each side by '-20'. x = 1.5 Simplifying x = 1.5
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