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Simplifying 5x + -7(x + -7) = 6x Reorder the terms: 5x + -7(-7 + x) = 6x 5x + (-7 * -7 + x * -7) = 6x 5x + (49 + -7x) = 6x Reorder the terms: 49 + 5x + -7x = 6x Combine like terms: 5x + -7x = -2x 49 + -2x = 6x Solving 49 + -2x = 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. 49 + -2x + -6x = 6x + -6x Combine like terms: -2x + -6x = -8x 49 + -8x = 6x + -6x Combine like terms: 6x + -6x = 0 49 + -8x = 0 Add '-49' to each side of the equation. 49 + -49 + -8x = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -8x = 0 + -49 -8x = 0 + -49 Combine like terms: 0 + -49 = -49 -8x = -49 Divide each side by '-8'. x = 6.125 Simplifying x = 6.125
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