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Simplifying -4(x + -1) = 4(x + 6) + -7 Reorder the terms: -4(-1 + x) = 4(x + 6) + -7 (-1 * -4 + x * -4) = 4(x + 6) + -7 (4 + -4x) = 4(x + 6) + -7 Reorder the terms: 4 + -4x = 4(6 + x) + -7 4 + -4x = (6 * 4 + x * 4) + -7 4 + -4x = (24 + 4x) + -7 Reorder the terms: 4 + -4x = 24 + -7 + 4x Combine like terms: 24 + -7 = 17 4 + -4x = 17 + 4x Solving 4 + -4x = 17 + 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. 4 + -4x + -4x = 17 + 4x + -4x Combine like terms: -4x + -4x = -8x 4 + -8x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -8x = 17 + 0 4 + -8x = 17 Add '-4' to each side of the equation. 4 + -4 + -8x = 17 + -4 Combine like terms: 4 + -4 = 0 0 + -8x = 17 + -4 -8x = 17 + -4 Combine like terms: 17 + -4 = 13 -8x = 13 Divide each side by '-8'. x = -1.625 Simplifying x = -1.625
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