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Simplifying -5(x + 4) + -3 = 7(x + 3) Reorder the terms: -5(4 + x) + -3 = 7(x + 3) (4 * -5 + x * -5) + -3 = 7(x + 3) (-20 + -5x) + -3 = 7(x + 3) Reorder the terms: -20 + -3 + -5x = 7(x + 3) Combine like terms: -20 + -3 = -23 -23 + -5x = 7(x + 3) Reorder the terms: -23 + -5x = 7(3 + x) -23 + -5x = (3 * 7 + x * 7) -23 + -5x = (21 + 7x) Solving -23 + -5x = 21 + 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. -23 + -5x + -7x = 21 + 7x + -7x Combine like terms: -5x + -7x = -12x -23 + -12x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 -23 + -12x = 21 + 0 -23 + -12x = 21 Add '23' to each side of the equation. -23 + 23 + -12x = 21 + 23 Combine like terms: -23 + 23 = 0 0 + -12x = 21 + 23 -12x = 21 + 23 Combine like terms: 21 + 23 = 44 -12x = 44 Divide each side by '-12'. x = -3.666666667 Simplifying x = -3.666666667
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