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Simplifying 2x + 6(x + -5) = 2x + 1(x + 9) Reorder the terms: 2x + 6(-5 + x) = 2x + 1(x + 9) 2x + (-5 * 6 + x * 6) = 2x + 1(x + 9) 2x + (-30 + 6x) = 2x + 1(x + 9) Reorder the terms: -30 + 2x + 6x = 2x + 1(x + 9) Combine like terms: 2x + 6x = 8x -30 + 8x = 2x + 1(x + 9) Reorder the terms: -30 + 8x = 2x + 1(9 + x) -30 + 8x = 2x + (9 * 1 + x * 1) -30 + 8x = 2x + (9 + 1x) Reorder the terms: -30 + 8x = 9 + 2x + 1x Combine like terms: 2x + 1x = 3x -30 + 8x = 9 + 3x Solving -30 + 8x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -30 + 8x + -3x = 9 + 3x + -3x Combine like terms: 8x + -3x = 5x -30 + 5x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 5x = 9 + 0 -30 + 5x = 9 Add '30' to each side of the equation. -30 + 30 + 5x = 9 + 30 Combine like terms: -30 + 30 = 0 0 + 5x = 9 + 30 5x = 9 + 30 Combine like terms: 9 + 30 = 39 5x = 39 Divide each side by '5'. x = 7.8 Simplifying x = 7.8
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