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Simplifying 3(x + -7) = 4(2 + -2x) + 4 Reorder the terms: 3(-7 + x) = 4(2 + -2x) + 4 (-7 * 3 + x * 3) = 4(2 + -2x) + 4 (-21 + 3x) = 4(2 + -2x) + 4 -21 + 3x = (2 * 4 + -2x * 4) + 4 -21 + 3x = (8 + -8x) + 4 Reorder the terms: -21 + 3x = 8 + 4 + -8x Combine like terms: 8 + 4 = 12 -21 + 3x = 12 + -8x Solving -21 + 3x = 12 + -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 + 3x + 8x = 12 + -8x + 8x Combine like terms: 3x + 8x = 11x -21 + 11x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 -21 + 11x = 12 + 0 -21 + 11x = 12 Add '21' to each side of the equation. -21 + 21 + 11x = 12 + 21 Combine like terms: -21 + 21 = 0 0 + 11x = 12 + 21 11x = 12 + 21 Combine like terms: 12 + 21 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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