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Simplifying 3(x + -2) = 5 + -2(x + -3) Reorder the terms: 3(-2 + x) = 5 + -2(x + -3) (-2 * 3 + x * 3) = 5 + -2(x + -3) (-6 + 3x) = 5 + -2(x + -3) Reorder the terms: -6 + 3x = 5 + -2(-3 + x) -6 + 3x = 5 + (-3 * -2 + x * -2) -6 + 3x = 5 + (6 + -2x) Combine like terms: 5 + 6 = 11 -6 + 3x = 11 + -2x Solving -6 + 3x = 11 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + 3x + 2x = 11 + -2x + 2x Combine like terms: 3x + 2x = 5x -6 + 5x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 5x = 11 + 0 -6 + 5x = 11 Add '6' to each side of the equation. -6 + 6 + 5x = 11 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 11 + 6 5x = 11 + 6 Combine like terms: 11 + 6 = 17 5x = 17 Divide each side by '5'. x = 3.4 Simplifying x = 3.4
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