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Simplifying 4(4x + -1) = 4(13 + -3x) Reorder the terms: 4(-1 + 4x) = 4(13 + -3x) (-1 * 4 + 4x * 4) = 4(13 + -3x) (-4 + 16x) = 4(13 + -3x) -4 + 16x = (13 * 4 + -3x * 4) -4 + 16x = (52 + -12x) Solving -4 + 16x = 52 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -4 + 16x + 12x = 52 + -12x + 12x Combine like terms: 16x + 12x = 28x -4 + 28x = 52 + -12x + 12x Combine like terms: -12x + 12x = 0 -4 + 28x = 52 + 0 -4 + 28x = 52 Add '4' to each side of the equation. -4 + 4 + 28x = 52 + 4 Combine like terms: -4 + 4 = 0 0 + 28x = 52 + 4 28x = 52 + 4 Combine like terms: 52 + 4 = 56 28x = 56 Divide each side by '28'. x = 2 Simplifying x = 2
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