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Simplifying 4(7x + -1) + -4(3x + -6) = 5(3x + 5) + -8 Reorder the terms: 4(-1 + 7x) + -4(3x + -6) = 5(3x + 5) + -8 (-1 * 4 + 7x * 4) + -4(3x + -6) = 5(3x + 5) + -8 (-4 + 28x) + -4(3x + -6) = 5(3x + 5) + -8 Reorder the terms: -4 + 28x + -4(-6 + 3x) = 5(3x + 5) + -8 -4 + 28x + (-6 * -4 + 3x * -4) = 5(3x + 5) + -8 -4 + 28x + (24 + -12x) = 5(3x + 5) + -8 Reorder the terms: -4 + 24 + 28x + -12x = 5(3x + 5) + -8 Combine like terms: -4 + 24 = 20 20 + 28x + -12x = 5(3x + 5) + -8 Combine like terms: 28x + -12x = 16x 20 + 16x = 5(3x + 5) + -8 Reorder the terms: 20 + 16x = 5(5 + 3x) + -8 20 + 16x = (5 * 5 + 3x * 5) + -8 20 + 16x = (25 + 15x) + -8 Reorder the terms: 20 + 16x = 25 + -8 + 15x Combine like terms: 25 + -8 = 17 20 + 16x = 17 + 15x Solving 20 + 16x = 17 + 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. 20 + 16x + -15x = 17 + 15x + -15x Combine like terms: 16x + -15x = 1x 20 + 1x = 17 + 15x + -15x Combine like terms: 15x + -15x = 0 20 + 1x = 17 + 0 20 + 1x = 17 Add '-20' to each side of the equation. 20 + -20 + 1x = 17 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = 17 + -20 1x = 17 + -20 Combine like terms: 17 + -20 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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