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Simplifying 3x + -5(x + 3) = 8x + (-5x + -9) Reorder the terms: 3x + -5(3 + x) = 8x + (-5x + -9) 3x + (3 * -5 + x * -5) = 8x + (-5x + -9) 3x + (-15 + -5x) = 8x + (-5x + -9) Reorder the terms: -15 + 3x + -5x = 8x + (-5x + -9) Combine like terms: 3x + -5x = -2x -15 + -2x = 8x + (-5x + -9) Reorder the terms: -15 + -2x = 8x + (-9 + -5x) Remove parenthesis around (-9 + -5x) -15 + -2x = 8x + -9 + -5x Reorder the terms: -15 + -2x = -9 + 8x + -5x Combine like terms: 8x + -5x = 3x -15 + -2x = -9 + 3x Solving -15 + -2x = -9 + 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. -15 + -2x + -3x = -9 + 3x + -3x Combine like terms: -2x + -3x = -5x -15 + -5x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + -5x = -9 + 0 -15 + -5x = -9 Add '15' to each side of the equation. -15 + 15 + -5x = -9 + 15 Combine like terms: -15 + 15 = 0 0 + -5x = -9 + 15 -5x = -9 + 15 Combine like terms: -9 + 15 = 6 -5x = 6 Divide each side by '-5'. x = -1.2 Simplifying x = -1.2
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