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Simplifying 2x + -4(x + 7) = 3(2 + -1x) Reorder the terms: 2x + -4(7 + x) = 3(2 + -1x) 2x + (7 * -4 + x * -4) = 3(2 + -1x) 2x + (-28 + -4x) = 3(2 + -1x) Reorder the terms: -28 + 2x + -4x = 3(2 + -1x) Combine like terms: 2x + -4x = -2x -28 + -2x = 3(2 + -1x) -28 + -2x = (2 * 3 + -1x * 3) -28 + -2x = (6 + -3x) Solving -28 + -2x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -28 + -2x + 3x = 6 + -3x + 3x Combine like terms: -2x + 3x = 1x -28 + 1x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -28 + 1x = 6 + 0 -28 + 1x = 6 Add '28' to each side of the equation. -28 + 28 + 1x = 6 + 28 Combine like terms: -28 + 28 = 0 0 + 1x = 6 + 28 1x = 6 + 28 Combine like terms: 6 + 28 = 34 1x = 34 Divide each side by '1'. x = 34 Simplifying x = 34
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