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Simplifying 3[2x + -1(5x + 2)] * 1 = 3x + -9(x + -3) Reorder the terms: 3[2x + -1(2 + 5x)] * 1 = 3x + -9(x + -3) 3[2x + (2 * -1 + 5x * -1)] * 1 = 3x + -9(x + -3) 3[2x + (-2 + -5x)] * 1 = 3x + -9(x + -3) Reorder the terms: 3[-2 + 2x + -5x] * 1 = 3x + -9(x + -3) Combine like terms: 2x + -5x = -3x 3[-2 + -3x] * 1 = 3x + -9(x + -3) Reorder the terms for easier multiplication: 3 * 1[-2 + -3x] = 3x + -9(x + -3) Multiply 3 * 1 3[-2 + -3x] = 3x + -9(x + -3) [-2 * 3 + -3x * 3] = 3x + -9(x + -3) [-6 + -9x] = 3x + -9(x + -3) Reorder the terms: -6 + -9x = 3x + -9(-3 + x) -6 + -9x = 3x + (-3 * -9 + x * -9) -6 + -9x = 3x + (27 + -9x) Reorder the terms: -6 + -9x = 27 + 3x + -9x Combine like terms: 3x + -9x = -6x -6 + -9x = 27 + -6x Solving -6 + -9x = 27 + -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. -6 + -9x + 6x = 27 + -6x + 6x Combine like terms: -9x + 6x = -3x -6 + -3x = 27 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + -3x = 27 + 0 -6 + -3x = 27 Add '6' to each side of the equation. -6 + 6 + -3x = 27 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 27 + 6 -3x = 27 + 6 Combine like terms: 27 + 6 = 33 -3x = 33 Divide each side by '-3'. x = -11 Simplifying x = -11
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