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Simplifying 4(3x + -6) + 1 = 6x + 5 Reorder the terms: 4(-6 + 3x) + 1 = 6x + 5 (-6 * 4 + 3x * 4) + 1 = 6x + 5 (-24 + 12x) + 1 = 6x + 5 Reorder the terms: -24 + 1 + 12x = 6x + 5 Combine like terms: -24 + 1 = -23 -23 + 12x = 6x + 5 Reorder the terms: -23 + 12x = 5 + 6x Solving -23 + 12x = 5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -23 + 12x + -6x = 5 + 6x + -6x Combine like terms: 12x + -6x = 6x -23 + 6x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 -23 + 6x = 5 + 0 -23 + 6x = 5 Add '23' to each side of the equation. -23 + 23 + 6x = 5 + 23 Combine like terms: -23 + 23 = 0 0 + 6x = 5 + 23 6x = 5 + 23 Combine like terms: 5 + 23 = 28 6x = 28 Divide each side by '6'. x = 4.666666667 Simplifying x = 4.666666667
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