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Simplifying 9 + 4(x + -4) = 3(x + 7) Reorder the terms: 9 + 4(-4 + x) = 3(x + 7) 9 + (-4 * 4 + x * 4) = 3(x + 7) 9 + (-16 + 4x) = 3(x + 7) Combine like terms: 9 + -16 = -7 -7 + 4x = 3(x + 7) Reorder the terms: -7 + 4x = 3(7 + x) -7 + 4x = (7 * 3 + x * 3) -7 + 4x = (21 + 3x) Solving -7 + 4x = 21 + 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. -7 + 4x + -3x = 21 + 3x + -3x Combine like terms: 4x + -3x = 1x -7 + 1x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 1x = 21 + 0 -7 + 1x = 21 Add '7' to each side of the equation. -7 + 7 + 1x = 21 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 21 + 7 1x = 21 + 7 Combine like terms: 21 + 7 = 28 1x = 28 Divide each side by '1'. x = 28 Simplifying x = 28
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