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Simplifying 8(2x + -3) + -1x = 3(3x + 2) Reorder the terms: 8(-3 + 2x) + -1x = 3(3x + 2) (-3 * 8 + 2x * 8) + -1x = 3(3x + 2) (-24 + 16x) + -1x = 3(3x + 2) Combine like terms: 16x + -1x = 15x -24 + 15x = 3(3x + 2) Reorder the terms: -24 + 15x = 3(2 + 3x) -24 + 15x = (2 * 3 + 3x * 3) -24 + 15x = (6 + 9x) Solving -24 + 15x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -24 + 15x + -9x = 6 + 9x + -9x Combine like terms: 15x + -9x = 6x -24 + 6x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 -24 + 6x = 6 + 0 -24 + 6x = 6 Add '24' to each side of the equation. -24 + 24 + 6x = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 6x = 6 + 24 6x = 6 + 24 Combine like terms: 6 + 24 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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