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Simplifying -6x + -6 + 7(x + 1) = -4x + -7 Reorder the terms: -6x + -6 + 7(1 + x) = -4x + -7 -6x + -6 + (1 * 7 + x * 7) = -4x + -7 -6x + -6 + (7 + 7x) = -4x + -7 Reorder the terms: -6 + 7 + -6x + 7x = -4x + -7 Combine like terms: -6 + 7 = 1 1 + -6x + 7x = -4x + -7 Combine like terms: -6x + 7x = 1x 1 + 1x = -4x + -7 Reorder the terms: 1 + 1x = -7 + -4x Solving 1 + 1x = -7 + -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. 1 + 1x + 4x = -7 + -4x + 4x Combine like terms: 1x + 4x = 5x 1 + 5x = -7 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + 5x = -7 + 0 1 + 5x = -7 Add '-1' to each side of the equation. 1 + -1 + 5x = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = -7 + -1 5x = -7 + -1 Combine like terms: -7 + -1 = -8 5x = -8 Divide each side by '5'. x = -1.6 Simplifying x = -1.6
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