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Simplifying 5x + (x + -7) = -3(x + 6) + -7 Reorder the terms: 5x + (-7 + x) = -3(x + 6) + -7 Remove parenthesis around (-7 + x) 5x + -7 + x = -3(x + 6) + -7 Reorder the terms: -7 + 5x + x = -3(x + 6) + -7 Combine like terms: 5x + x = 6x -7 + 6x = -3(x + 6) + -7 Reorder the terms: -7 + 6x = -3(6 + x) + -7 -7 + 6x = (6 * -3 + x * -3) + -7 -7 + 6x = (-18 + -3x) + -7 Reorder the terms: -7 + 6x = -18 + -7 + -3x Combine like terms: -18 + -7 = -25 -7 + 6x = -25 + -3x Solving -7 + 6x = -25 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -7 + 6x + 3x = -25 + -3x + 3x Combine like terms: 6x + 3x = 9x -7 + 9x = -25 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 9x = -25 + 0 -7 + 9x = -25 Add '7' to each side of the equation. -7 + 7 + 9x = -25 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = -25 + 7 9x = -25 + 7 Combine like terms: -25 + 7 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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