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Simplifying -7(x + 4) + -6x = -8 + 7x Reorder the terms: -7(4 + x) + -6x = -8 + 7x (4 * -7 + x * -7) + -6x = -8 + 7x (-28 + -7x) + -6x = -8 + 7x Combine like terms: -7x + -6x = -13x -28 + -13x = -8 + 7x Solving -28 + -13x = -8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -28 + -13x + -7x = -8 + 7x + -7x Combine like terms: -13x + -7x = -20x -28 + -20x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 -28 + -20x = -8 + 0 -28 + -20x = -8 Add '28' to each side of the equation. -28 + 28 + -20x = -8 + 28 Combine like terms: -28 + 28 = 0 0 + -20x = -8 + 28 -20x = -8 + 28 Combine like terms: -8 + 28 = 20 -20x = 20 Divide each side by '-20'. x = -1 Simplifying x = -1
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