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