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Simplifying 2 + -6(2 + -1x) = 5(x + 3) + -23 2 + (2 * -6 + -1x * -6) = 5(x + 3) + -23 2 + (-12 + 6x) = 5(x + 3) + -23 Combine like terms: 2 + -12 = -10 -10 + 6x = 5(x + 3) + -23 Reorder the terms: -10 + 6x = 5(3 + x) + -23 -10 + 6x = (3 * 5 + x * 5) + -23 -10 + 6x = (15 + 5x) + -23 Reorder the terms: -10 + 6x = 15 + -23 + 5x Combine like terms: 15 + -23 = -8 -10 + 6x = -8 + 5x Solving -10 + 6x = -8 + 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. -10 + 6x + -5x = -8 + 5x + -5x Combine like terms: 6x + -5x = 1x -10 + 1x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 1x = -8 + 0 -10 + 1x = -8 Add '10' to each side of the equation. -10 + 10 + 1x = -8 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -8 + 10 1x = -8 + 10 Combine like terms: -8 + 10 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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