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Simplifying 2(x + -4) + -13 = 21 + -5x Reorder the terms: 2(-4 + x) + -13 = 21 + -5x (-4 * 2 + x * 2) + -13 = 21 + -5x (-8 + 2x) + -13 = 21 + -5x Reorder the terms: -8 + -13 + 2x = 21 + -5x Combine like terms: -8 + -13 = -21 -21 + 2x = 21 + -5x Solving -21 + 2x = 21 + -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. -21 + 2x + 5x = 21 + -5x + 5x Combine like terms: 2x + 5x = 7x -21 + 7x = 21 + -5x + 5x Combine like terms: -5x + 5x = 0 -21 + 7x = 21 + 0 -21 + 7x = 21 Add '21' to each side of the equation. -21 + 21 + 7x = 21 + 21 Combine like terms: -21 + 21 = 0 0 + 7x = 21 + 21 7x = 21 + 21 Combine like terms: 21 + 21 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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