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Simplifying -2(3 + -2x) + 5x = 8(x + 3) (3 * -2 + -2x * -2) + 5x = 8(x + 3) (-6 + 4x) + 5x = 8(x + 3) Combine like terms: 4x + 5x = 9x -6 + 9x = 8(x + 3) Reorder the terms: -6 + 9x = 8(3 + x) -6 + 9x = (3 * 8 + x * 8) -6 + 9x = (24 + 8x) Solving -6 + 9x = 24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + 9x + -8x = 24 + 8x + -8x Combine like terms: 9x + -8x = 1x -6 + 1x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + 1x = 24 + 0 -6 + 1x = 24 Add '6' to each side of the equation. -6 + 6 + 1x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 24 + 6 1x = 24 + 6 Combine like terms: 24 + 6 = 30 1x = 30 Divide each side by '1'. x = 30 Simplifying x = 30
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