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Simplifying 3x + -2(4 + -1x) = 4(x + -7) 3x + (4 * -2 + -1x * -2) = 4(x + -7) 3x + (-8 + 2x) = 4(x + -7) Reorder the terms: -8 + 3x + 2x = 4(x + -7) Combine like terms: 3x + 2x = 5x -8 + 5x = 4(x + -7) Reorder the terms: -8 + 5x = 4(-7 + x) -8 + 5x = (-7 * 4 + x * 4) -8 + 5x = (-28 + 4x) Solving -8 + 5x = -28 + 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. -8 + 5x + -4x = -28 + 4x + -4x Combine like terms: 5x + -4x = 1x -8 + 1x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 1x = -28 + 0 -8 + 1x = -28 Add '8' to each side of the equation. -8 + 8 + 1x = -28 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = -28 + 8 1x = -28 + 8 Combine like terms: -28 + 8 = -20 1x = -20 Divide each side by '1'. x = -20 Simplifying x = -20
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