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Simplifying 4 + -2(x + 3) = 13 + -5(x + 4) Reorder the terms: 4 + -2(3 + x) = 13 + -5(x + 4) 4 + (3 * -2 + x * -2) = 13 + -5(x + 4) 4 + (-6 + -2x) = 13 + -5(x + 4) Combine like terms: 4 + -6 = -2 -2 + -2x = 13 + -5(x + 4) Reorder the terms: -2 + -2x = 13 + -5(4 + x) -2 + -2x = 13 + (4 * -5 + x * -5) -2 + -2x = 13 + (-20 + -5x) Combine like terms: 13 + -20 = -7 -2 + -2x = -7 + -5x Solving -2 + -2x = -7 + -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. -2 + -2x + 5x = -7 + -5x + 5x Combine like terms: -2x + 5x = 3x -2 + 3x = -7 + -5x + 5x Combine like terms: -5x + 5x = 0 -2 + 3x = -7 + 0 -2 + 3x = -7 Add '2' to each side of the equation. -2 + 2 + 3x = -7 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = -7 + 2 3x = -7 + 2 Combine like terms: -7 + 2 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667
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