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Simplifying 9x + -3(x + 5) = 5x + 9 + -3x Reorder the terms: 9x + -3(5 + x) = 5x + 9 + -3x 9x + (5 * -3 + x * -3) = 5x + 9 + -3x 9x + (-15 + -3x) = 5x + 9 + -3x Reorder the terms: -15 + 9x + -3x = 5x + 9 + -3x Combine like terms: 9x + -3x = 6x -15 + 6x = 5x + 9 + -3x Reorder the terms: -15 + 6x = 9 + 5x + -3x Combine like terms: 5x + -3x = 2x -15 + 6x = 9 + 2x Solving -15 + 6x = 9 + 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. -15 + 6x + -2x = 9 + 2x + -2x Combine like terms: 6x + -2x = 4x -15 + 4x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 4x = 9 + 0 -15 + 4x = 9 Add '15' to each side of the equation. -15 + 15 + 4x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = 9 + 15 4x = 9 + 15 Combine like terms: 9 + 15 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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