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Simplifying 4(3x + -1) = x + 7 Reorder the terms: 4(-1 + 3x) = x + 7 (-1 * 4 + 3x * 4) = x + 7 (-4 + 12x) = x + 7 Reorder the terms: -4 + 12x = 7 + x Solving -4 + 12x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + 12x + -1x = 7 + x + -1x Combine like terms: 12x + -1x = 11x -4 + 11x = 7 + x + -1x Combine like terms: x + -1x = 0 -4 + 11x = 7 + 0 -4 + 11x = 7 Add '4' to each side of the equation. -4 + 4 + 11x = 7 + 4 Combine like terms: -4 + 4 = 0 0 + 11x = 7 + 4 11x = 7 + 4 Combine like terms: 7 + 4 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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