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Simplifying 2 + 3(x + -5) = 3 + -2(x + -9) Reorder the terms: 2 + 3(-5 + x) = 3 + -2(x + -9) 2 + (-5 * 3 + x * 3) = 3 + -2(x + -9) 2 + (-15 + 3x) = 3 + -2(x + -9) Combine like terms: 2 + -15 = -13 -13 + 3x = 3 + -2(x + -9) Reorder the terms: -13 + 3x = 3 + -2(-9 + x) -13 + 3x = 3 + (-9 * -2 + x * -2) -13 + 3x = 3 + (18 + -2x) Combine like terms: 3 + 18 = 21 -13 + 3x = 21 + -2x Solving -13 + 3x = 21 + -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. -13 + 3x + 2x = 21 + -2x + 2x Combine like terms: 3x + 2x = 5x -13 + 5x = 21 + -2x + 2x Combine like terms: -2x + 2x = 0 -13 + 5x = 21 + 0 -13 + 5x = 21 Add '13' to each side of the equation. -13 + 13 + 5x = 21 + 13 Combine like terms: -13 + 13 = 0 0 + 5x = 21 + 13 5x = 21 + 13 Combine like terms: 21 + 13 = 34 5x = 34 Divide each side by '5'. x = 6.8 Simplifying x = 6.8
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