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Simplifying 6(1 + -1x) = 1 + -1(2x + 3) (1 * 6 + -1x * 6) = 1 + -1(2x + 3) (6 + -6x) = 1 + -1(2x + 3) Reorder the terms: 6 + -6x = 1 + -1(3 + 2x) 6 + -6x = 1 + (3 * -1 + 2x * -1) 6 + -6x = 1 + (-3 + -2x) Combine like terms: 1 + -3 = -2 6 + -6x = -2 + -2x Solving 6 + -6x = -2 + -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 = -2 + -2x + 2x Combine like terms: -6x + 2x = -4x 6 + -4x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + -4x = -2 + 0 6 + -4x = -2 Add '-6' to each side of the equation. 6 + -6 + -4x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = -2 + -6 -4x = -2 + -6 Combine like terms: -2 + -6 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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