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Simplifying 4x + 1 = -4x + -7 Reorder the terms: 1 + 4x = -4x + -7 Reorder the terms: 1 + 4x = -7 + -4x Solving 1 + 4x = -7 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 1 + 4x + 4x = -7 + -4x + 4x Combine like terms: 4x + 4x = 8x 1 + 8x = -7 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + 8x = -7 + 0 1 + 8x = -7 Add '-1' to each side of the equation. 1 + -1 + 8x = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = -7 + -1 8x = -7 + -1 Combine like terms: -7 + -1 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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