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Simplifying -3x + 43 = 3(x + -3) + 4 Reorder the terms: 43 + -3x = 3(x + -3) + 4 Reorder the terms: 43 + -3x = 3(-3 + x) + 4 43 + -3x = (-3 * 3 + x * 3) + 4 43 + -3x = (-9 + 3x) + 4 Reorder the terms: 43 + -3x = -9 + 4 + 3x Combine like terms: -9 + 4 = -5 43 + -3x = -5 + 3x Solving 43 + -3x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 43 + -3x + -3x = -5 + 3x + -3x Combine like terms: -3x + -3x = -6x 43 + -6x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 43 + -6x = -5 + 0 43 + -6x = -5 Add '-43' to each side of the equation. 43 + -43 + -6x = -5 + -43 Combine like terms: 43 + -43 = 0 0 + -6x = -5 + -43 -6x = -5 + -43 Combine like terms: -5 + -43 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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