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Simplifying -6(x + 7) + -3 = -5(x + 4) Reorder the terms: -6(7 + x) + -3 = -5(x + 4) (7 * -6 + x * -6) + -3 = -5(x + 4) (-42 + -6x) + -3 = -5(x + 4) Reorder the terms: -42 + -3 + -6x = -5(x + 4) Combine like terms: -42 + -3 = -45 -45 + -6x = -5(x + 4) Reorder the terms: -45 + -6x = -5(4 + x) -45 + -6x = (4 * -5 + x * -5) -45 + -6x = (-20 + -5x) Solving -45 + -6x = -20 + -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. -45 + -6x + 5x = -20 + -5x + 5x Combine like terms: -6x + 5x = -1x -45 + -1x = -20 + -5x + 5x Combine like terms: -5x + 5x = 0 -45 + -1x = -20 + 0 -45 + -1x = -20 Add '45' to each side of the equation. -45 + 45 + -1x = -20 + 45 Combine like terms: -45 + 45 = 0 0 + -1x = -20 + 45 -1x = -20 + 45 Combine like terms: -20 + 45 = 25 -1x = 25 Divide each side by '-1'. x = -25 Simplifying x = -25
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