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Simplifying 4(2x + 3) + -5(x + 7) = 6 Reorder the terms: 4(3 + 2x) + -5(x + 7) = 6 (3 * 4 + 2x * 4) + -5(x + 7) = 6 (12 + 8x) + -5(x + 7) = 6 Reorder the terms: 12 + 8x + -5(7 + x) = 6 12 + 8x + (7 * -5 + x * -5) = 6 12 + 8x + (-35 + -5x) = 6 Reorder the terms: 12 + -35 + 8x + -5x = 6 Combine like terms: 12 + -35 = -23 -23 + 8x + -5x = 6 Combine like terms: 8x + -5x = 3x -23 + 3x = 6 Solving -23 + 3x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 3x = 6 + 23 Combine like terms: -23 + 23 = 0 0 + 3x = 6 + 23 3x = 6 + 23 Combine like terms: 6 + 23 = 29 3x = 29 Divide each side by '3'. x = 9.666666667 Simplifying x = 9.666666667
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