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Simplifying 4(2x + -7) = 2 + -4x Reorder the terms: 4(-7 + 2x) = 2 + -4x (-7 * 4 + 2x * 4) = 2 + -4x (-28 + 8x) = 2 + -4x Solving -28 + 8x = 2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -28 + 8x + 4x = 2 + -4x + 4x Combine like terms: 8x + 4x = 12x -28 + 12x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 -28 + 12x = 2 + 0 -28 + 12x = 2 Add '28' to each side of the equation. -28 + 28 + 12x = 2 + 28 Combine like terms: -28 + 28 = 0 0 + 12x = 2 + 28 12x = 2 + 28 Combine like terms: 2 + 28 = 30 12x = 30 Divide each side by '12'. x = 2.5 Simplifying x = 2.5
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