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Simplifying 3(x + 2) + 8(x + -3) + -6x = 0 Reorder the terms: 3(2 + x) + 8(x + -3) + -6x = 0 (2 * 3 + x * 3) + 8(x + -3) + -6x = 0 (6 + 3x) + 8(x + -3) + -6x = 0 Reorder the terms: 6 + 3x + 8(-3 + x) + -6x = 0 6 + 3x + (-3 * 8 + x * 8) + -6x = 0 6 + 3x + (-24 + 8x) + -6x = 0 Reorder the terms: 6 + -24 + 3x + 8x + -6x = 0 Combine like terms: 6 + -24 = -18 -18 + 3x + 8x + -6x = 0 Combine like terms: 3x + 8x = 11x -18 + 11x + -6x = 0 Combine like terms: 11x + -6x = 5x -18 + 5x = 0 Solving -18 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 5x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = 0 + 18 5x = 0 + 18 Combine like terms: 0 + 18 = 18 5x = 18 Divide each side by '5'. x = 3.6 Simplifying x = 3.6
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