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Simplifying 12x + -7 = -3 + (4x + 1) Reorder the terms: -7 + 12x = -3 + (4x + 1) Reorder the terms: -7 + 12x = -3 + (1 + 4x) Remove parenthesis around (1 + 4x) -7 + 12x = -3 + 1 + 4x Combine like terms: -3 + 1 = -2 -7 + 12x = -2 + 4x Solving -7 + 12x = -2 + 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. -7 + 12x + -4x = -2 + 4x + -4x Combine like terms: 12x + -4x = 8x -7 + 8x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 8x = -2 + 0 -7 + 8x = -2 Add '7' to each side of the equation. -7 + 7 + 8x = -2 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = -2 + 7 8x = -2 + 7 Combine like terms: -2 + 7 = 5 8x = 5 Divide each side by '8'. x = 0.625 Simplifying x = 0.625
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