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Simplifying 4(x + 7) + -11x = -2(10x + -3) + -4 Reorder the terms: 4(7 + x) + -11x = -2(10x + -3) + -4 (7 * 4 + x * 4) + -11x = -2(10x + -3) + -4 (28 + 4x) + -11x = -2(10x + -3) + -4 Combine like terms: 4x + -11x = -7x 28 + -7x = -2(10x + -3) + -4 Reorder the terms: 28 + -7x = -2(-3 + 10x) + -4 28 + -7x = (-3 * -2 + 10x * -2) + -4 28 + -7x = (6 + -20x) + -4 Reorder the terms: 28 + -7x = 6 + -4 + -20x Combine like terms: 6 + -4 = 2 28 + -7x = 2 + -20x Solving 28 + -7x = 2 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 28 + -7x + 20x = 2 + -20x + 20x Combine like terms: -7x + 20x = 13x 28 + 13x = 2 + -20x + 20x Combine like terms: -20x + 20x = 0 28 + 13x = 2 + 0 28 + 13x = 2 Add '-28' to each side of the equation. 28 + -28 + 13x = 2 + -28 Combine like terms: 28 + -28 = 0 0 + 13x = 2 + -28 13x = 2 + -28 Combine like terms: 2 + -28 = -26 13x = -26 Divide each side by '13'. x = -2 Simplifying x = -2
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