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Simplifying -4x + -11(x + 5) = -7(2x + 2) Reorder the terms: -4x + -11(5 + x) = -7(2x + 2) -4x + (5 * -11 + x * -11) = -7(2x + 2) -4x + (-55 + -11x) = -7(2x + 2) Reorder the terms: -55 + -4x + -11x = -7(2x + 2) Combine like terms: -4x + -11x = -15x -55 + -15x = -7(2x + 2) Reorder the terms: -55 + -15x = -7(2 + 2x) -55 + -15x = (2 * -7 + 2x * -7) -55 + -15x = (-14 + -14x) Solving -55 + -15x = -14 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -55 + -15x + 14x = -14 + -14x + 14x Combine like terms: -15x + 14x = -1x -55 + -1x = -14 + -14x + 14x Combine like terms: -14x + 14x = 0 -55 + -1x = -14 + 0 -55 + -1x = -14 Add '55' to each side of the equation. -55 + 55 + -1x = -14 + 55 Combine like terms: -55 + 55 = 0 0 + -1x = -14 + 55 -1x = -14 + 55 Combine like terms: -14 + 55 = 41 -1x = 41 Divide each side by '-1'. x = -41 Simplifying x = -41
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