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Simplifying 4(4x + -9) + -4 = 4(x + -4) + 36 Reorder the terms: 4(-9 + 4x) + -4 = 4(x + -4) + 36 (-9 * 4 + 4x * 4) + -4 = 4(x + -4) + 36 (-36 + 16x) + -4 = 4(x + -4) + 36 Reorder the terms: -36 + -4 + 16x = 4(x + -4) + 36 Combine like terms: -36 + -4 = -40 -40 + 16x = 4(x + -4) + 36 Reorder the terms: -40 + 16x = 4(-4 + x) + 36 -40 + 16x = (-4 * 4 + x * 4) + 36 -40 + 16x = (-16 + 4x) + 36 Reorder the terms: -40 + 16x = -16 + 36 + 4x Combine like terms: -16 + 36 = 20 -40 + 16x = 20 + 4x Solving -40 + 16x = 20 + 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. -40 + 16x + -4x = 20 + 4x + -4x Combine like terms: 16x + -4x = 12x -40 + 12x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 -40 + 12x = 20 + 0 -40 + 12x = 20 Add '40' to each side of the equation. -40 + 40 + 12x = 20 + 40 Combine like terms: -40 + 40 = 0 0 + 12x = 20 + 40 12x = 20 + 40 Combine like terms: 20 + 40 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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