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Simplifying 8x + 3(x + -2) = 5(2x + -3) Reorder the terms: 8x + 3(-2 + x) = 5(2x + -3) 8x + (-2 * 3 + x * 3) = 5(2x + -3) 8x + (-6 + 3x) = 5(2x + -3) Reorder the terms: -6 + 8x + 3x = 5(2x + -3) Combine like terms: 8x + 3x = 11x -6 + 11x = 5(2x + -3) Reorder the terms: -6 + 11x = 5(-3 + 2x) -6 + 11x = (-3 * 5 + 2x * 5) -6 + 11x = (-15 + 10x) Solving -6 + 11x = -15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -6 + 11x + -10x = -15 + 10x + -10x Combine like terms: 11x + -10x = 1x -6 + 1x = -15 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + 1x = -15 + 0 -6 + 1x = -15 Add '6' to each side of the equation. -6 + 6 + 1x = -15 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = -15 + 6 1x = -15 + 6 Combine like terms: -15 + 6 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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