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Simplifying 2x + 3(x + -3) = 6[2x + -3(x + -5)] Reorder the terms: 2x + 3(-3 + x) = 6[2x + -3(x + -5)] 2x + (-3 * 3 + x * 3) = 6[2x + -3(x + -5)] 2x + (-9 + 3x) = 6[2x + -3(x + -5)] Reorder the terms: -9 + 2x + 3x = 6[2x + -3(x + -5)] Combine like terms: 2x + 3x = 5x -9 + 5x = 6[2x + -3(x + -5)] Reorder the terms: -9 + 5x = 6[2x + -3(-5 + x)] -9 + 5x = 6[2x + (-5 * -3 + x * -3)] -9 + 5x = 6[2x + (15 + -3x)] Reorder the terms: -9 + 5x = 6[15 + 2x + -3x] Combine like terms: 2x + -3x = -1x -9 + 5x = 6[15 + -1x] -9 + 5x = [15 * 6 + -1x * 6] -9 + 5x = [90 + -6x] Solving -9 + 5x = 90 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -9 + 5x + 6x = 90 + -6x + 6x Combine like terms: 5x + 6x = 11x -9 + 11x = 90 + -6x + 6x Combine like terms: -6x + 6x = 0 -9 + 11x = 90 + 0 -9 + 11x = 90 Add '9' to each side of the equation. -9 + 9 + 11x = 90 + 9 Combine like terms: -9 + 9 = 0 0 + 11x = 90 + 9 11x = 90 + 9 Combine like terms: 90 + 9 = 99 11x = 99 Divide each side by '11'. x = 9 Simplifying x = 9
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