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Simplifying 7(x + -4) = -4x + 38 Reorder the terms: 7(-4 + x) = -4x + 38 (-4 * 7 + x * 7) = -4x + 38 (-28 + 7x) = -4x + 38 Reorder the terms: -28 + 7x = 38 + -4x Solving -28 + 7x = 38 + -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. -28 + 7x + 4x = 38 + -4x + 4x Combine like terms: 7x + 4x = 11x -28 + 11x = 38 + -4x + 4x Combine like terms: -4x + 4x = 0 -28 + 11x = 38 + 0 -28 + 11x = 38 Add '28' to each side of the equation. -28 + 28 + 11x = 38 + 28 Combine like terms: -28 + 28 = 0 0 + 11x = 38 + 28 11x = 38 + 28 Combine like terms: 38 + 28 = 66 11x = 66 Divide each side by '11'. x = 6 Simplifying x = 6
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