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Simplifying -4 + 11x = -7(-4x + -11) + 10x Reorder the terms: -4 + 11x = -7(-11 + -4x) + 10x -4 + 11x = (-11 * -7 + -4x * -7) + 10x -4 + 11x = (77 + 28x) + 10x Combine like terms: 28x + 10x = 38x -4 + 11x = 77 + 38x Solving -4 + 11x = 77 + 38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38x' to each side of the equation. -4 + 11x + -38x = 77 + 38x + -38x Combine like terms: 11x + -38x = -27x -4 + -27x = 77 + 38x + -38x Combine like terms: 38x + -38x = 0 -4 + -27x = 77 + 0 -4 + -27x = 77 Add '4' to each side of the equation. -4 + 4 + -27x = 77 + 4 Combine like terms: -4 + 4 = 0 0 + -27x = 77 + 4 -27x = 77 + 4 Combine like terms: 77 + 4 = 81 -27x = 81 Divide each side by '-27'. x = -3 Simplifying x = -3
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