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Simplifying -2[3x + 3(x + -8)] = -2[3(x + 7)] Reorder the terms: -2[3x + 3(-8 + x)] = -2[3(x + 7)] -2[3x + (-8 * 3 + x * 3)] = -2[3(x + 7)] -2[3x + (-24 + 3x)] = -2[3(x + 7)] Reorder the terms: -2[-24 + 3x + 3x] = -2[3(x + 7)] Combine like terms: 3x + 3x = 6x -2[-24 + 6x] = -2[3(x + 7)] [-24 * -2 + 6x * -2] = -2[3(x + 7)] [48 + -12x] = -2[3(x + 7)] Reorder the terms: 48 + -12x = -2[3(7 + x)] 48 + -12x = -2[(7 * 3 + x * 3)] 48 + -12x = -2[(21 + 3x)] 48 + -12x = [21 * -2 + 3x * -2] 48 + -12x = [-42 + -6x] Solving 48 + -12x = -42 + -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. 48 + -12x + 6x = -42 + -6x + 6x Combine like terms: -12x + 6x = -6x 48 + -6x = -42 + -6x + 6x Combine like terms: -6x + 6x = 0 48 + -6x = -42 + 0 48 + -6x = -42 Add '-48' to each side of the equation. 48 + -48 + -6x = -42 + -48 Combine like terms: 48 + -48 = 0 0 + -6x = -42 + -48 -6x = -42 + -48 Combine like terms: -42 + -48 = -90 -6x = -90 Divide each side by '-6'. x = 15 Simplifying x = 15
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