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Simplifying 12x + -11x + 5 = -2(x + 3) + 5 Reorder the terms: 5 + 12x + -11x = -2(x + 3) + 5 Combine like terms: 12x + -11x = 1x 5 + 1x = -2(x + 3) + 5 Reorder the terms: 5 + 1x = -2(3 + x) + 5 5 + 1x = (3 * -2 + x * -2) + 5 5 + 1x = (-6 + -2x) + 5 Reorder the terms: 5 + 1x = -6 + 5 + -2x Combine like terms: -6 + 5 = -1 5 + 1x = -1 + -2x Solving 5 + 1x = -1 + -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. 5 + 1x + 2x = -1 + -2x + 2x Combine like terms: 1x + 2x = 3x 5 + 3x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 3x = -1 + 0 5 + 3x = -1 Add '-5' to each side of the equation. 5 + -5 + 3x = -1 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = -1 + -5 3x = -1 + -5 Combine like terms: -1 + -5 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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