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Simplifying (-6x + 7) + -4 = -5(x + 5) Reorder the terms: (7 + -6x) + -4 = -5(x + 5) Remove parenthesis around (7 + -6x) 7 + -6x + -4 = -5(x + 5) Reorder the terms: 7 + -4 + -6x = -5(x + 5) Combine like terms: 7 + -4 = 3 3 + -6x = -5(x + 5) Reorder the terms: 3 + -6x = -5(5 + x) 3 + -6x = (5 * -5 + x * -5) 3 + -6x = (-25 + -5x) Solving 3 + -6x = -25 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 3 + -6x + 5x = -25 + -5x + 5x Combine like terms: -6x + 5x = -1x 3 + -1x = -25 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + -1x = -25 + 0 3 + -1x = -25 Add '-3' to each side of the equation. 3 + -3 + -1x = -25 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -25 + -3 -1x = -25 + -3 Combine like terms: -25 + -3 = -28 -1x = -28 Divide each side by '-1'. x = 28 Simplifying x = 28
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