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