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Simplifying 6 + -6x = -2[x + 5] Reorder the terms: 6 + -6x = -2[5 + x] 6 + -6x = [5 * -2 + x * -2] 6 + -6x = [-10 + -2x] Solving 6 + -6x = -10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + -6x + 2x = -10 + -2x + 2x Combine like terms: -6x + 2x = -4x 6 + -4x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + -4x = -10 + 0 6 + -4x = -10 Add '-6' to each side of the equation. 6 + -6 + -4x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = -10 + -6 -4x = -10 + -6 Combine like terms: -10 + -6 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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