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Simplifying 2(3x + -8) = 3(5x + -2) Reorder the terms: 2(-8 + 3x) = 3(5x + -2) (-8 * 2 + 3x * 2) = 3(5x + -2) (-16 + 6x) = 3(5x + -2) Reorder the terms: -16 + 6x = 3(-2 + 5x) -16 + 6x = (-2 * 3 + 5x * 3) -16 + 6x = (-6 + 15x) Solving -16 + 6x = -6 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -16 + 6x + -15x = -6 + 15x + -15x Combine like terms: 6x + -15x = -9x -16 + -9x = -6 + 15x + -15x Combine like terms: 15x + -15x = 0 -16 + -9x = -6 + 0 -16 + -9x = -6 Add '16' to each side of the equation. -16 + 16 + -9x = -6 + 16 Combine like terms: -16 + 16 = 0 0 + -9x = -6 + 16 -9x = -6 + 16 Combine like terms: -6 + 16 = 10 -9x = 10 Divide each side by '-9'. x = -1.111111111 Simplifying x = -1.111111111
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