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Simplifying 4(7x + -4) + -4(3x + -5) = 15x + 5 Reorder the terms: 4(-4 + 7x) + -4(3x + -5) = 15x + 5 (-4 * 4 + 7x * 4) + -4(3x + -5) = 15x + 5 (-16 + 28x) + -4(3x + -5) = 15x + 5 Reorder the terms: -16 + 28x + -4(-5 + 3x) = 15x + 5 -16 + 28x + (-5 * -4 + 3x * -4) = 15x + 5 -16 + 28x + (20 + -12x) = 15x + 5 Reorder the terms: -16 + 20 + 28x + -12x = 15x + 5 Combine like terms: -16 + 20 = 4 4 + 28x + -12x = 15x + 5 Combine like terms: 28x + -12x = 16x 4 + 16x = 15x + 5 Reorder the terms: 4 + 16x = 5 + 15x Solving 4 + 16x = 5 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 4 + 16x + -15x = 5 + 15x + -15x Combine like terms: 16x + -15x = 1x 4 + 1x = 5 + 15x + -15x Combine like terms: 15x + -15x = 0 4 + 1x = 5 + 0 4 + 1x = 5 Add '-4' to each side of the equation. 4 + -4 + 1x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 5 + -4 1x = 5 + -4 Combine like terms: 5 + -4 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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