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Simplifying x + -7 = 5(x + -11) Reorder the terms: -7 + x = 5(x + -11) Reorder the terms: -7 + x = 5(-11 + x) -7 + x = (-11 * 5 + x * 5) -7 + x = (-55 + 5x) Solving -7 + x = -55 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + x + -5x = -55 + 5x + -5x Combine like terms: x + -5x = -4x -7 + -4x = -55 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + -4x = -55 + 0 -7 + -4x = -55 Add '7' to each side of the equation. -7 + 7 + -4x = -55 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = -55 + 7 -4x = -55 + 7 Combine like terms: -55 + 7 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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