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Simplifying 2(x + 6) + -3(2x + -3) = 8 + -5(1 + x) Reorder the terms: 2(6 + x) + -3(2x + -3) = 8 + -5(1 + x) (6 * 2 + x * 2) + -3(2x + -3) = 8 + -5(1 + x) (12 + 2x) + -3(2x + -3) = 8 + -5(1 + x) Reorder the terms: 12 + 2x + -3(-3 + 2x) = 8 + -5(1 + x) 12 + 2x + (-3 * -3 + 2x * -3) = 8 + -5(1 + x) 12 + 2x + (9 + -6x) = 8 + -5(1 + x) Reorder the terms: 12 + 9 + 2x + -6x = 8 + -5(1 + x) Combine like terms: 12 + 9 = 21 21 + 2x + -6x = 8 + -5(1 + x) Combine like terms: 2x + -6x = -4x 21 + -4x = 8 + -5(1 + x) 21 + -4x = 8 + (1 * -5 + x * -5) 21 + -4x = 8 + (-5 + -5x) Combine like terms: 8 + -5 = 3 21 + -4x = 3 + -5x Solving 21 + -4x = 3 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 21 + -4x + 5x = 3 + -5x + 5x Combine like terms: -4x + 5x = 1x 21 + 1x = 3 + -5x + 5x Combine like terms: -5x + 5x = 0 21 + 1x = 3 + 0 21 + 1x = 3 Add '-21' to each side of the equation. 21 + -21 + 1x = 3 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = 3 + -21 1x = 3 + -21 Combine like terms: 3 + -21 = -18 1x = -18 Divide each side by '1'. x = -18 Simplifying x = -18
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