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Simplifying 19 + -7x = -4(7x + 2) + -4(-3 + -5x) Reorder the terms: 19 + -7x = -4(2 + 7x) + -4(-3 + -5x) 19 + -7x = (2 * -4 + 7x * -4) + -4(-3 + -5x) 19 + -7x = (-8 + -28x) + -4(-3 + -5x) 19 + -7x = -8 + -28x + (-3 * -4 + -5x * -4) 19 + -7x = -8 + -28x + (12 + 20x) Reorder the terms: 19 + -7x = -8 + 12 + -28x + 20x Combine like terms: -8 + 12 = 4 19 + -7x = 4 + -28x + 20x Combine like terms: -28x + 20x = -8x 19 + -7x = 4 + -8x Solving 19 + -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. 19 + -7x + 8x = 4 + -8x + 8x Combine like terms: -7x + 8x = 1x 19 + 1x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 19 + 1x = 4 + 0 19 + 1x = 4 Add '-19' to each side of the equation. 19 + -19 + 1x = 4 + -19 Combine like terms: 19 + -19 = 0 0 + 1x = 4 + -19 1x = 4 + -19 Combine like terms: 4 + -19 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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