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Simplifying 3(2x + -7) = 2(2 + 4x) Reorder the terms: 3(-7 + 2x) = 2(2 + 4x) (-7 * 3 + 2x * 3) = 2(2 + 4x) (-21 + 6x) = 2(2 + 4x) -21 + 6x = (2 * 2 + 4x * 2) -21 + 6x = (4 + 8x) Solving -21 + 6x = 4 + 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 + 6x + -8x = 4 + 8x + -8x Combine like terms: 6x + -8x = -2x -21 + -2x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 -21 + -2x = 4 + 0 -21 + -2x = 4 Add '21' to each side of the equation. -21 + 21 + -2x = 4 + 21 Combine like terms: -21 + 21 = 0 0 + -2x = 4 + 21 -2x = 4 + 21 Combine like terms: 4 + 21 = 25 -2x = 25 Divide each side by '-2'. x = -12.5 Simplifying x = -12.5
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