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Simplifying 16(2x + -3) = 5(4x + 16) + 4 Reorder the terms: 16(-3 + 2x) = 5(4x + 16) + 4 (-3 * 16 + 2x * 16) = 5(4x + 16) + 4 (-48 + 32x) = 5(4x + 16) + 4 Reorder the terms: -48 + 32x = 5(16 + 4x) + 4 -48 + 32x = (16 * 5 + 4x * 5) + 4 -48 + 32x = (80 + 20x) + 4 Reorder the terms: -48 + 32x = 80 + 4 + 20x Combine like terms: 80 + 4 = 84 -48 + 32x = 84 + 20x Solving -48 + 32x = 84 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -48 + 32x + -20x = 84 + 20x + -20x Combine like terms: 32x + -20x = 12x -48 + 12x = 84 + 20x + -20x Combine like terms: 20x + -20x = 0 -48 + 12x = 84 + 0 -48 + 12x = 84 Add '48' to each side of the equation. -48 + 48 + 12x = 84 + 48 Combine like terms: -48 + 48 = 0 0 + 12x = 84 + 48 12x = 84 + 48 Combine like terms: 84 + 48 = 132 12x = 132 Divide each side by '12'. x = 11 Simplifying x = 11
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