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Simplifying 6(2x + -3) + -3x = 5x + 8 Reorder the terms: 6(-3 + 2x) + -3x = 5x + 8 (-3 * 6 + 2x * 6) + -3x = 5x + 8 (-18 + 12x) + -3x = 5x + 8 Combine like terms: 12x + -3x = 9x -18 + 9x = 5x + 8 Reorder the terms: -18 + 9x = 8 + 5x Solving -18 + 9x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -18 + 9x + -5x = 8 + 5x + -5x Combine like terms: 9x + -5x = 4x -18 + 4x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + 4x = 8 + 0 -18 + 4x = 8 Add '18' to each side of the equation. -18 + 18 + 4x = 8 + 18 Combine like terms: -18 + 18 = 0 0 + 4x = 8 + 18 4x = 8 + 18 Combine like terms: 8 + 18 = 26 4x = 26 Divide each side by '4'. x = 6.5 Simplifying x = 6.5
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