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Simplifying 6x + 2(x + -9) = 3(x + 1) + -2 Reorder the terms: 6x + 2(-9 + x) = 3(x + 1) + -2 6x + (-9 * 2 + x * 2) = 3(x + 1) + -2 6x + (-18 + 2x) = 3(x + 1) + -2 Reorder the terms: -18 + 6x + 2x = 3(x + 1) + -2 Combine like terms: 6x + 2x = 8x -18 + 8x = 3(x + 1) + -2 Reorder the terms: -18 + 8x = 3(1 + x) + -2 -18 + 8x = (1 * 3 + x * 3) + -2 -18 + 8x = (3 + 3x) + -2 Reorder the terms: -18 + 8x = 3 + -2 + 3x Combine like terms: 3 + -2 = 1 -18 + 8x = 1 + 3x Solving -18 + 8x = 1 + 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. -18 + 8x + -3x = 1 + 3x + -3x Combine like terms: 8x + -3x = 5x -18 + 5x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 5x = 1 + 0 -18 + 5x = 1 Add '18' to each side of the equation. -18 + 18 + 5x = 1 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = 1 + 18 5x = 1 + 18 Combine like terms: 1 + 18 = 19 5x = 19 Divide each side by '5'. x = 3.8 Simplifying x = 3.8
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