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Simplifying 11x + -3 + 12x = 6(x + 4) + 7x Reorder the terms: -3 + 11x + 12x = 6(x + 4) + 7x Combine like terms: 11x + 12x = 23x -3 + 23x = 6(x + 4) + 7x Reorder the terms: -3 + 23x = 6(4 + x) + 7x -3 + 23x = (4 * 6 + x * 6) + 7x -3 + 23x = (24 + 6x) + 7x Combine like terms: 6x + 7x = 13x -3 + 23x = 24 + 13x Solving -3 + 23x = 24 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -3 + 23x + -13x = 24 + 13x + -13x Combine like terms: 23x + -13x = 10x -3 + 10x = 24 + 13x + -13x Combine like terms: 13x + -13x = 0 -3 + 10x = 24 + 0 -3 + 10x = 24 Add '3' to each side of the equation. -3 + 3 + 10x = 24 + 3 Combine like terms: -3 + 3 = 0 0 + 10x = 24 + 3 10x = 24 + 3 Combine like terms: 24 + 3 = 27 10x = 27 Divide each side by '10'. x = 2.7 Simplifying x = 2.7
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