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Simplifying 4x + -4 = 4(x + 1) + 11x + 4 Reorder the terms: -4 + 4x = 4(x + 1) + 11x + 4 Reorder the terms: -4 + 4x = 4(1 + x) + 11x + 4 -4 + 4x = (1 * 4 + x * 4) + 11x + 4 -4 + 4x = (4 + 4x) + 11x + 4 Reorder the terms: -4 + 4x = 4 + 4 + 4x + 11x Combine like terms: 4 + 4 = 8 -4 + 4x = 8 + 4x + 11x Combine like terms: 4x + 11x = 15x -4 + 4x = 8 + 15x Solving -4 + 4x = 8 + 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. -4 + 4x + -15x = 8 + 15x + -15x Combine like terms: 4x + -15x = -11x -4 + -11x = 8 + 15x + -15x Combine like terms: 15x + -15x = 0 -4 + -11x = 8 + 0 -4 + -11x = 8 Add '4' to each side of the equation. -4 + 4 + -11x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -11x = 8 + 4 -11x = 8 + 4 Combine like terms: 8 + 4 = 12 -11x = 12 Divide each side by '-11'. x = -1.090909091 Simplifying x = -1.090909091
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