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Simplifying 3 + 2(x + -3) = 5 + -3(x + -8) Reorder the terms: 3 + 2(-3 + x) = 5 + -3(x + -8) 3 + (-3 * 2 + x * 2) = 5 + -3(x + -8) 3 + (-6 + 2x) = 5 + -3(x + -8) Combine like terms: 3 + -6 = -3 -3 + 2x = 5 + -3(x + -8) Reorder the terms: -3 + 2x = 5 + -3(-8 + x) -3 + 2x = 5 + (-8 * -3 + x * -3) -3 + 2x = 5 + (24 + -3x) Combine like terms: 5 + 24 = 29 -3 + 2x = 29 + -3x Solving -3 + 2x = 29 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -3 + 2x + 3x = 29 + -3x + 3x Combine like terms: 2x + 3x = 5x -3 + 5x = 29 + -3x + 3x Combine like terms: -3x + 3x = 0 -3 + 5x = 29 + 0 -3 + 5x = 29 Add '3' to each side of the equation. -3 + 3 + 5x = 29 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = 29 + 3 5x = 29 + 3 Combine like terms: 29 + 3 = 32 5x = 32 Divide each side by '5'. x = 6.4 Simplifying x = 6.4
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