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Simplifying -7(6x + 1) + 3 = -4 + -8x Reorder the terms: -7(1 + 6x) + 3 = -4 + -8x (1 * -7 + 6x * -7) + 3 = -4 + -8x (-7 + -42x) + 3 = -4 + -8x Reorder the terms: -7 + 3 + -42x = -4 + -8x Combine like terms: -7 + 3 = -4 -4 + -42x = -4 + -8x Add '4' to each side of the equation. -4 + 4 + -42x = -4 + 4 + -8x Combine like terms: -4 + 4 = 0 0 + -42x = -4 + 4 + -8x -42x = -4 + 4 + -8x Combine like terms: -4 + 4 = 0 -42x = 0 + -8x -42x = -8x Solving -42x = -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. -42x + 8x = -8x + 8x Combine like terms: -42x + 8x = -34x -34x = -8x + 8x Combine like terms: -8x + 8x = 0 -34x = 0 Divide each side by '-34'. x = 0 Simplifying x = 0
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