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Simplifying 8x + 6(1 + -7x) = -24 + -4x 8x + (1 * 6 + -7x * 6) = -24 + -4x 8x + (6 + -42x) = -24 + -4x Reorder the terms: 6 + 8x + -42x = -24 + -4x Combine like terms: 8x + -42x = -34x 6 + -34x = -24 + -4x Solving 6 + -34x = -24 + -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. 6 + -34x + 4x = -24 + -4x + 4x Combine like terms: -34x + 4x = -30x 6 + -30x = -24 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + -30x = -24 + 0 6 + -30x = -24 Add '-6' to each side of the equation. 6 + -6 + -30x = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -30x = -24 + -6 -30x = -24 + -6 Combine like terms: -24 + -6 = -30 -30x = -30 Divide each side by '-30'. x = 1 Simplifying x = 1
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