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Simplifying 8x + 4 = 7(x + 1) + -8 Reorder the terms: 4 + 8x = 7(x + 1) + -8 Reorder the terms: 4 + 8x = 7(1 + x) + -8 4 + 8x = (1 * 7 + x * 7) + -8 4 + 8x = (7 + 7x) + -8 Reorder the terms: 4 + 8x = 7 + -8 + 7x Combine like terms: 7 + -8 = -1 4 + 8x = -1 + 7x Solving 4 + 8x = -1 + 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. 4 + 8x + -7x = -1 + 7x + -7x Combine like terms: 8x + -7x = 1x 4 + 1x = -1 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + 1x = -1 + 0 4 + 1x = -1 Add '-4' to each side of the equation. 4 + -4 + 1x = -1 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = -1 + -4 1x = -1 + -4 Combine like terms: -1 + -4 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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