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Simplifying 3 + -3[4(x + -2)] + 15x = 6 + 5[8 + 2(3x + -10)] Reorder the terms: 3 + -3[4(-2 + x)] + 15x = 6 + 5[8 + 2(3x + -10)] 3 + -3[(-2 * 4 + x * 4)] + 15x = 6 + 5[8 + 2(3x + -10)] 3 + -3[(-8 + 4x)] + 15x = 6 + 5[8 + 2(3x + -10)] 3 + [-8 * -3 + 4x * -3] + 15x = 6 + 5[8 + 2(3x + -10)] 3 + [24 + -12x] + 15x = 6 + 5[8 + 2(3x + -10)] Combine like terms: 3 + 24 = 27 27 + -12x + 15x = 6 + 5[8 + 2(3x + -10)] Combine like terms: -12x + 15x = 3x 27 + 3x = 6 + 5[8 + 2(3x + -10)] Reorder the terms: 27 + 3x = 6 + 5[8 + 2(-10 + 3x)] 27 + 3x = 6 + 5[8 + (-10 * 2 + 3x * 2)] 27 + 3x = 6 + 5[8 + (-20 + 6x)] Combine like terms: 8 + -20 = -12 27 + 3x = 6 + 5[-12 + 6x] 27 + 3x = 6 + [-12 * 5 + 6x * 5] 27 + 3x = 6 + [-60 + 30x] Combine like terms: 6 + -60 = -54 27 + 3x = -54 + 30x Solving 27 + 3x = -54 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 27 + 3x + -30x = -54 + 30x + -30x Combine like terms: 3x + -30x = -27x 27 + -27x = -54 + 30x + -30x Combine like terms: 30x + -30x = 0 27 + -27x = -54 + 0 27 + -27x = -54 Add '-27' to each side of the equation. 27 + -27 + -27x = -54 + -27 Combine like terms: 27 + -27 = 0 0 + -27x = -54 + -27 -27x = -54 + -27 Combine like terms: -54 + -27 = -81 -27x = -81 Divide each side by '-27'. x = 3 Simplifying x = 3
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