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Simplifying -4x + -6(x + -7) = 26 + -8x Reorder the terms: -4x + -6(-7 + x) = 26 + -8x -4x + (-7 * -6 + x * -6) = 26 + -8x -4x + (42 + -6x) = 26 + -8x Reorder the terms: 42 + -4x + -6x = 26 + -8x Combine like terms: -4x + -6x = -10x 42 + -10x = 26 + -8x Solving 42 + -10x = 26 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 42 + -10x + 8x = 26 + -8x + 8x Combine like terms: -10x + 8x = -2x 42 + -2x = 26 + -8x + 8x Combine like terms: -8x + 8x = 0 42 + -2x = 26 + 0 42 + -2x = 26 Add '-42' to each side of the equation. 42 + -42 + -2x = 26 + -42 Combine like terms: 42 + -42 = 0 0 + -2x = 26 + -42 -2x = 26 + -42 Combine like terms: 26 + -42 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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