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Simplifying -7(x + -6) = -8x + 4 Reorder the terms: -7(-6 + x) = -8x + 4 (-6 * -7 + x * -7) = -8x + 4 (42 + -7x) = -8x + 4 Reorder the terms: 42 + -7x = 4 + -8x Solving 42 + -7x = 4 + -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 + -7x + 8x = 4 + -8x + 8x Combine like terms: -7x + 8x = 1x 42 + 1x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 42 + 1x = 4 + 0 42 + 1x = 4 Add '-42' to each side of the equation. 42 + -42 + 1x = 4 + -42 Combine like terms: 42 + -42 = 0 0 + 1x = 4 + -42 1x = 4 + -42 Combine like terms: 4 + -42 = -38 1x = -38 Divide each side by '1'. x = -38 Simplifying x = -38
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