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Simplifying 7 + -4(7 + -2x) = -13 + 7x 7 + (7 * -4 + -2x * -4) = -13 + 7x 7 + (-28 + 8x) = -13 + 7x Combine like terms: 7 + -28 = -21 -21 + 8x = -13 + 7x Solving -21 + 8x = -13 + 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. -21 + 8x + -7x = -13 + 7x + -7x Combine like terms: 8x + -7x = 1x -21 + 1x = -13 + 7x + -7x Combine like terms: 7x + -7x = 0 -21 + 1x = -13 + 0 -21 + 1x = -13 Add '21' to each side of the equation. -21 + 21 + 1x = -13 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = -13 + 21 1x = -13 + 21 Combine like terms: -13 + 21 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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