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Simplifying 7(x + -4) = 3(x + 4) Reorder the terms: 7(-4 + x) = 3(x + 4) (-4 * 7 + x * 7) = 3(x + 4) (-28 + 7x) = 3(x + 4) Reorder the terms: -28 + 7x = 3(4 + x) -28 + 7x = (4 * 3 + x * 3) -28 + 7x = (12 + 3x) Solving -28 + 7x = 12 + 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 + 7x + -3x = 12 + 3x + -3x Combine like terms: 7x + -3x = 4x -28 + 4x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -28 + 4x = 12 + 0 -28 + 4x = 12 Add '28' to each side of the equation. -28 + 28 + 4x = 12 + 28 Combine like terms: -28 + 28 = 0 0 + 4x = 12 + 28 4x = 12 + 28 Combine like terms: 12 + 28 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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