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Simplifying -2(1 + 7x) + 6(7 + x) = 4 + -4x (1 * -2 + 7x * -2) + 6(7 + x) = 4 + -4x (-2 + -14x) + 6(7 + x) = 4 + -4x -2 + -14x + (7 * 6 + x * 6) = 4 + -4x -2 + -14x + (42 + 6x) = 4 + -4x Reorder the terms: -2 + 42 + -14x + 6x = 4 + -4x Combine like terms: -2 + 42 = 40 40 + -14x + 6x = 4 + -4x Combine like terms: -14x + 6x = -8x 40 + -8x = 4 + -4x Solving 40 + -8x = 4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 40 + -8x + 4x = 4 + -4x + 4x Combine like terms: -8x + 4x = -4x 40 + -4x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 40 + -4x = 4 + 0 40 + -4x = 4 Add '-40' to each side of the equation. 40 + -40 + -4x = 4 + -40 Combine like terms: 40 + -40 = 0 0 + -4x = 4 + -40 -4x = 4 + -40 Combine like terms: 4 + -40 = -36 -4x = -36 Divide each side by '-4'. x = 9 Simplifying x = 9
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