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