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Simplifying -3(1 + 7x) + -4x = 8 + -6(1 + 4x) (1 * -3 + 7x * -3) + -4x = 8 + -6(1 + 4x) (-3 + -21x) + -4x = 8 + -6(1 + 4x) Combine like terms: -21x + -4x = -25x -3 + -25x = 8 + -6(1 + 4x) -3 + -25x = 8 + (1 * -6 + 4x * -6) -3 + -25x = 8 + (-6 + -24x) Combine like terms: 8 + -6 = 2 -3 + -25x = 2 + -24x Solving -3 + -25x = 2 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -3 + -25x + 24x = 2 + -24x + 24x Combine like terms: -25x + 24x = -1x -3 + -1x = 2 + -24x + 24x Combine like terms: -24x + 24x = 0 -3 + -1x = 2 + 0 -3 + -1x = 2 Add '3' to each side of the equation. -3 + 3 + -1x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 2 + 3 -1x = 2 + 3 Combine like terms: 2 + 3 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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