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Simplifying 6[1 + -1(5x + -2)] = 8(3 + -3x) Reorder the terms: 6[1 + -1(-2 + 5x)] = 8(3 + -3x) 6[1 + (-2 * -1 + 5x * -1)] = 8(3 + -3x) 6[1 + (2 + -5x)] = 8(3 + -3x) Combine like terms: 1 + 2 = 3 6[3 + -5x] = 8(3 + -3x) [3 * 6 + -5x * 6] = 8(3 + -3x) [18 + -30x] = 8(3 + -3x) 18 + -30x = (3 * 8 + -3x * 8) 18 + -30x = (24 + -24x) Solving 18 + -30x = 24 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 18 + -30x + 24x = 24 + -24x + 24x Combine like terms: -30x + 24x = -6x 18 + -6x = 24 + -24x + 24x Combine like terms: -24x + 24x = 0 18 + -6x = 24 + 0 18 + -6x = 24 Add '-18' to each side of the equation. 18 + -18 + -6x = 24 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = 24 + -18 -6x = 24 + -18 Combine like terms: 24 + -18 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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