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