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Simplifying -7(4x + -3) = 2(3 + -4x) Reorder the terms: -7(-3 + 4x) = 2(3 + -4x) (-3 * -7 + 4x * -7) = 2(3 + -4x) (21 + -28x) = 2(3 + -4x) 21 + -28x = (3 * 2 + -4x * 2) 21 + -28x = (6 + -8x) Solving 21 + -28x = 6 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 21 + -28x + 8x = 6 + -8x + 8x Combine like terms: -28x + 8x = -20x 21 + -20x = 6 + -8x + 8x Combine like terms: -8x + 8x = 0 21 + -20x = 6 + 0 21 + -20x = 6 Add '-21' to each side of the equation. 21 + -21 + -20x = 6 + -21 Combine like terms: 21 + -21 = 0 0 + -20x = 6 + -21 -20x = 6 + -21 Combine like terms: 6 + -21 = -15 -20x = -15 Divide each side by '-20'. x = 0.75 Simplifying x = 0.75
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