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Simplifying 4(3x + -1) + -2 = x + 5 Reorder the terms: 4(-1 + 3x) + -2 = x + 5 (-1 * 4 + 3x * 4) + -2 = x + 5 (-4 + 12x) + -2 = x + 5 Reorder the terms: -4 + -2 + 12x = x + 5 Combine like terms: -4 + -2 = -6 -6 + 12x = x + 5 Reorder the terms: -6 + 12x = 5 + x Solving -6 + 12x = 5 + 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. -6 + 12x + -1x = 5 + x + -1x Combine like terms: 12x + -1x = 11x -6 + 11x = 5 + x + -1x Combine like terms: x + -1x = 0 -6 + 11x = 5 + 0 -6 + 11x = 5 Add '6' to each side of the equation. -6 + 6 + 11x = 5 + 6 Combine like terms: -6 + 6 = 0 0 + 11x = 5 + 6 11x = 5 + 6 Combine like terms: 5 + 6 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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