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Simplifying -43 = 3(2x + -5) + 8 Reorder the terms: -43 = 3(-5 + 2x) + 8 -43 = (-5 * 3 + 2x * 3) + 8 -43 = (-15 + 6x) + 8 Reorder the terms: -43 = -15 + 8 + 6x Combine like terms: -15 + 8 = -7 -43 = -7 + 6x Solving -43 = -7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -43 + -6x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 -43 + -6x = -7 + 0 -43 + -6x = -7 Add '43' to each side of the equation. -43 + 43 + -6x = -7 + 43 Combine like terms: -43 + 43 = 0 0 + -6x = -7 + 43 -6x = -7 + 43 Combine like terms: -7 + 43 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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