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Simplifying 3x + -43 = 5(1x + -11) Reorder the terms: -43 + 3x = 5(1x + -11) Reorder the terms: -43 + 3x = 5(-11 + 1x) -43 + 3x = (-11 * 5 + 1x * 5) -43 + 3x = (-55 + 5x) Solving -43 + 3x = -55 + 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. -43 + 3x + -5x = -55 + 5x + -5x Combine like terms: 3x + -5x = -2x -43 + -2x = -55 + 5x + -5x Combine like terms: 5x + -5x = 0 -43 + -2x = -55 + 0 -43 + -2x = -55 Add '43' to each side of the equation. -43 + 43 + -2x = -55 + 43 Combine like terms: -43 + 43 = 0 0 + -2x = -55 + 43 -2x = -55 + 43 Combine like terms: -55 + 43 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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