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Simplifying 15 + -7x = -4(7x + 4) + -4(-5 + -5x) Reorder the terms: 15 + -7x = -4(4 + 7x) + -4(-5 + -5x) 15 + -7x = (4 * -4 + 7x * -4) + -4(-5 + -5x) 15 + -7x = (-16 + -28x) + -4(-5 + -5x) 15 + -7x = -16 + -28x + (-5 * -4 + -5x * -4) 15 + -7x = -16 + -28x + (20 + 20x) Reorder the terms: 15 + -7x = -16 + 20 + -28x + 20x Combine like terms: -16 + 20 = 4 15 + -7x = 4 + -28x + 20x Combine like terms: -28x + 20x = -8x 15 + -7x = 4 + -8x Solving 15 + -7x = 4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 15 + -7x + 8x = 4 + -8x + 8x Combine like terms: -7x + 8x = 1x 15 + 1x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 15 + 1x = 4 + 0 15 + 1x = 4 Add '-15' to each side of the equation. 15 + -15 + 1x = 4 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 4 + -15 1x = 4 + -15 Combine like terms: 4 + -15 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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