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Simplifying 3x + 4(x + -4) = 3(x + -4) Reorder the terms: 3x + 4(-4 + x) = 3(x + -4) 3x + (-4 * 4 + x * 4) = 3(x + -4) 3x + (-16 + 4x) = 3(x + -4) Reorder the terms: -16 + 3x + 4x = 3(x + -4) Combine like terms: 3x + 4x = 7x -16 + 7x = 3(x + -4) Reorder the terms: -16 + 7x = 3(-4 + x) -16 + 7x = (-4 * 3 + x * 3) -16 + 7x = (-12 + 3x) Solving -16 + 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. -16 + 7x + -3x = -12 + 3x + -3x Combine like terms: 7x + -3x = 4x -16 + 4x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -16 + 4x = -12 + 0 -16 + 4x = -12 Add '16' to each side of the equation. -16 + 16 + 4x = -12 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = -12 + 16 4x = -12 + 16 Combine like terms: -12 + 16 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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