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Simplifying 5x + -43 = 7(x + -9) Reorder the terms: -43 + 5x = 7(x + -9) Reorder the terms: -43 + 5x = 7(-9 + x) -43 + 5x = (-9 * 7 + x * 7) -43 + 5x = (-63 + 7x) Solving -43 + 5x = -63 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -43 + 5x + -7x = -63 + 7x + -7x Combine like terms: 5x + -7x = -2x -43 + -2x = -63 + 7x + -7x Combine like terms: 7x + -7x = 0 -43 + -2x = -63 + 0 -43 + -2x = -63 Add '43' to each side of the equation. -43 + 43 + -2x = -63 + 43 Combine like terms: -43 + 43 = 0 0 + -2x = -63 + 43 -2x = -63 + 43 Combine like terms: -63 + 43 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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