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Simplifying -1x + 43 = 3(2x + -5) + 9 Reorder the terms: 43 + -1x = 3(2x + -5) + 9 Reorder the terms: 43 + -1x = 3(-5 + 2x) + 9 43 + -1x = (-5 * 3 + 2x * 3) + 9 43 + -1x = (-15 + 6x) + 9 Reorder the terms: 43 + -1x = -15 + 9 + 6x Combine like terms: -15 + 9 = -6 43 + -1x = -6 + 6x Solving 43 + -1x = -6 + 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 + -1x + -6x = -6 + 6x + -6x Combine like terms: -1x + -6x = -7x 43 + -7x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 43 + -7x = -6 + 0 43 + -7x = -6 Add '-43' to each side of the equation. 43 + -43 + -7x = -6 + -43 Combine like terms: 43 + -43 = 0 0 + -7x = -6 + -43 -7x = -6 + -43 Combine like terms: -6 + -43 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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