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Simplifying 6x + -1(12 + 13x) + -11 = x + -1(8 + -5x) + -8x 6x + (12 * -1 + 13x * -1) + -11 = x + -1(8 + -5x) + -8x 6x + (-12 + -13x) + -11 = x + -1(8 + -5x) + -8x Reorder the terms: -12 + -11 + 6x + -13x = x + -1(8 + -5x) + -8x Combine like terms: -12 + -11 = -23 -23 + 6x + -13x = x + -1(8 + -5x) + -8x Combine like terms: 6x + -13x = -7x -23 + -7x = x + -1(8 + -5x) + -8x -23 + -7x = x + (8 * -1 + -5x * -1) + -8x -23 + -7x = x + (-8 + 5x) + -8x Reorder the terms: -23 + -7x = -8 + x + 5x + -8x Combine like terms: x + 5x = 6x -23 + -7x = -8 + 6x + -8x Combine like terms: 6x + -8x = -2x -23 + -7x = -8 + -2x Solving -23 + -7x = -8 + -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. -23 + -7x + 2x = -8 + -2x + 2x Combine like terms: -7x + 2x = -5x -23 + -5x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 -23 + -5x = -8 + 0 -23 + -5x = -8 Add '23' to each side of the equation. -23 + 23 + -5x = -8 + 23 Combine like terms: -23 + 23 = 0 0 + -5x = -8 + 23 -5x = -8 + 23 Combine like terms: -8 + 23 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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