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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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