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Simplifying 3[x + -1(7 + -8x)] = 2[9x + -1(3 + 4x)] 3[x + (7 * -1 + -8x * -1)] = 2[9x + -1(3 + 4x)] 3[x + (-7 + 8x)] = 2[9x + -1(3 + 4x)] Reorder the terms: 3[-7 + x + 8x] = 2[9x + -1(3 + 4x)] Combine like terms: x + 8x = 9x 3[-7 + 9x] = 2[9x + -1(3 + 4x)] [-7 * 3 + 9x * 3] = 2[9x + -1(3 + 4x)] [-21 + 27x] = 2[9x + -1(3 + 4x)] -21 + 27x = 2[9x + (3 * -1 + 4x * -1)] -21 + 27x = 2[9x + (-3 + -4x)] Reorder the terms: -21 + 27x = 2[-3 + 9x + -4x] Combine like terms: 9x + -4x = 5x -21 + 27x = 2[-3 + 5x] -21 + 27x = [-3 * 2 + 5x * 2] -21 + 27x = [-6 + 10x] Solving -21 + 27x = -6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -21 + 27x + -10x = -6 + 10x + -10x Combine like terms: 27x + -10x = 17x -21 + 17x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 -21 + 17x = -6 + 0 -21 + 17x = -6 Add '21' to each side of the equation. -21 + 21 + 17x = -6 + 21 Combine like terms: -21 + 21 = 0 0 + 17x = -6 + 21 17x = -6 + 21 Combine like terms: -6 + 21 = 15 17x = 15 Divide each side by '17'. x = 0.8823529412 Simplifying x = 0.8823529412
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