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Simplifying 3(x + -2) = 4(7 + -1x) + -4 Reorder the terms: 3(-2 + x) = 4(7 + -1x) + -4 (-2 * 3 + x * 3) = 4(7 + -1x) + -4 (-6 + 3x) = 4(7 + -1x) + -4 -6 + 3x = (7 * 4 + -1x * 4) + -4 -6 + 3x = (28 + -4x) + -4 Reorder the terms: -6 + 3x = 28 + -4 + -4x Combine like terms: 28 + -4 = 24 -6 + 3x = 24 + -4x Solving -6 + 3x = 24 + -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. -6 + 3x + 4x = 24 + -4x + 4x Combine like terms: 3x + 4x = 7x -6 + 7x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 7x = 24 + 0 -6 + 7x = 24 Add '6' to each side of the equation. -6 + 6 + 7x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 24 + 6 7x = 24 + 6 Combine like terms: 24 + 6 = 30 7x = 30 Divide each side by '7'. x = 4.285714286 Simplifying x = 4.285714286
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