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Simplifying 4(x + 3) + -4 = 8(x + 1) Reorder the terms: 4(3 + x) + -4 = 8(x + 1) (3 * 4 + x * 4) + -4 = 8(x + 1) (12 + 4x) + -4 = 8(x + 1) Reorder the terms: 12 + -4 + 4x = 8(x + 1) Combine like terms: 12 + -4 = 8 8 + 4x = 8(x + 1) Reorder the terms: 8 + 4x = 8(1 + x) 8 + 4x = (1 * 8 + x * 8) 8 + 4x = (8 + 8x) Add '-8' to each side of the equation. 8 + -8 + 4x = 8 + -8 + 8x Combine like terms: 8 + -8 = 0 0 + 4x = 8 + -8 + 8x 4x = 8 + -8 + 8x Combine like terms: 8 + -8 = 0 4x = 0 + 8x 4x = 8x Solving 4x = 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. 4x + -8x = 8x + -8x Combine like terms: 4x + -8x = -4x -4x = 8x + -8x Combine like terms: 8x + -8x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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