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Simplifying -5x + 6 = -2[4x + 9] Reorder the terms: 6 + -5x = -2[4x + 9] Reorder the terms: 6 + -5x = -2[9 + 4x] 6 + -5x = [9 * -2 + 4x * -2] 6 + -5x = [-18 + -8x] Solving 6 + -5x = -18 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 6 + -5x + 8x = -18 + -8x + 8x Combine like terms: -5x + 8x = 3x 6 + 3x = -18 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + 3x = -18 + 0 6 + 3x = -18 Add '-6' to each side of the equation. 6 + -6 + 3x = -18 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = -18 + -6 3x = -18 + -6 Combine like terms: -18 + -6 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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