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Simplifying 5 + 2(8 + -3x) = 7x + -3(4x + -5) 5 + (8 * 2 + -3x * 2) = 7x + -3(4x + -5) 5 + (16 + -6x) = 7x + -3(4x + -5) Combine like terms: 5 + 16 = 21 21 + -6x = 7x + -3(4x + -5) Reorder the terms: 21 + -6x = 7x + -3(-5 + 4x) 21 + -6x = 7x + (-5 * -3 + 4x * -3) 21 + -6x = 7x + (15 + -12x) Reorder the terms: 21 + -6x = 15 + 7x + -12x Combine like terms: 7x + -12x = -5x 21 + -6x = 15 + -5x Solving 21 + -6x = 15 + -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 + -6x + 5x = 15 + -5x + 5x Combine like terms: -6x + 5x = -1x 21 + -1x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 21 + -1x = 15 + 0 21 + -1x = 15 Add '-21' to each side of the equation. 21 + -21 + -1x = 15 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 15 + -21 -1x = 15 + -21 Combine like terms: 15 + -21 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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