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Simplifying 2x + -3(2x + -5) + 6 = -47 Reorder the terms: 2x + -3(-5 + 2x) + 6 = -47 2x + (-5 * -3 + 2x * -3) + 6 = -47 2x + (15 + -6x) + 6 = -47 Reorder the terms: 15 + 6 + 2x + -6x = -47 Combine like terms: 15 + 6 = 21 21 + 2x + -6x = -47 Combine like terms: 2x + -6x = -4x 21 + -4x = -47 Solving 21 + -4x = -47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -4x = -47 + -21 Combine like terms: 21 + -21 = 0 0 + -4x = -47 + -21 -4x = -47 + -21 Combine like terms: -47 + -21 = -68 -4x = -68 Divide each side by '-4'. x = 17 Simplifying x = 17
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