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Simplifying 4(3x + -6) + 5(x + 1) = 5x + 5 Reorder the terms: 4(-6 + 3x) + 5(x + 1) = 5x + 5 (-6 * 4 + 3x * 4) + 5(x + 1) = 5x + 5 (-24 + 12x) + 5(x + 1) = 5x + 5 Reorder the terms: -24 + 12x + 5(1 + x) = 5x + 5 -24 + 12x + (1 * 5 + x * 5) = 5x + 5 -24 + 12x + (5 + 5x) = 5x + 5 Reorder the terms: -24 + 5 + 12x + 5x = 5x + 5 Combine like terms: -24 + 5 = -19 -19 + 12x + 5x = 5x + 5 Combine like terms: 12x + 5x = 17x -19 + 17x = 5x + 5 Reorder the terms: -19 + 17x = 5 + 5x Solving -19 + 17x = 5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -19 + 17x + -5x = 5 + 5x + -5x Combine like terms: 17x + -5x = 12x -19 + 12x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -19 + 12x = 5 + 0 -19 + 12x = 5 Add '19' to each side of the equation. -19 + 19 + 12x = 5 + 19 Combine like terms: -19 + 19 = 0 0 + 12x = 5 + 19 12x = 5 + 19 Combine like terms: 5 + 19 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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