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Simplifying -4(7 + -7x) = -6(1 + -1x) + -176 (7 * -4 + -7x * -4) = -6(1 + -1x) + -176 (-28 + 28x) = -6(1 + -1x) + -176 -28 + 28x = (1 * -6 + -1x * -6) + -176 -28 + 28x = (-6 + 6x) + -176 Reorder the terms: -28 + 28x = -6 + -176 + 6x Combine like terms: -6 + -176 = -182 -28 + 28x = -182 + 6x Solving -28 + 28x = -182 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -28 + 28x + -6x = -182 + 6x + -6x Combine like terms: 28x + -6x = 22x -28 + 22x = -182 + 6x + -6x Combine like terms: 6x + -6x = 0 -28 + 22x = -182 + 0 -28 + 22x = -182 Add '28' to each side of the equation. -28 + 28 + 22x = -182 + 28 Combine like terms: -28 + 28 = 0 0 + 22x = -182 + 28 22x = -182 + 28 Combine like terms: -182 + 28 = -154 22x = -154 Divide each side by '22'. x = -7 Simplifying x = -7
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