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Simplifying 13 + 4(x + -5) = 5 + -2x Reorder the terms: 13 + 4(-5 + x) = 5 + -2x 13 + (-5 * 4 + x * 4) = 5 + -2x 13 + (-20 + 4x) = 5 + -2x Combine like terms: 13 + -20 = -7 -7 + 4x = 5 + -2x Solving -7 + 4x = 5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -7 + 4x + 2x = 5 + -2x + 2x Combine like terms: 4x + 2x = 6x -7 + 6x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + 6x = 5 + 0 -7 + 6x = 5 Add '7' to each side of the equation. -7 + 7 + 6x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = 5 + 7 6x = 5 + 7 Combine like terms: 5 + 7 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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