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Simplifying 7x + -31 = 9(x + -3) Reorder the terms: -31 + 7x = 9(x + -3) Reorder the terms: -31 + 7x = 9(-3 + x) -31 + 7x = (-3 * 9 + x * 9) -31 + 7x = (-27 + 9x) Solving -31 + 7x = -27 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -31 + 7x + -9x = -27 + 9x + -9x Combine like terms: 7x + -9x = -2x -31 + -2x = -27 + 9x + -9x Combine like terms: 9x + -9x = 0 -31 + -2x = -27 + 0 -31 + -2x = -27 Add '31' to each side of the equation. -31 + 31 + -2x = -27 + 31 Combine like terms: -31 + 31 = 0 0 + -2x = -27 + 31 -2x = -27 + 31 Combine like terms: -27 + 31 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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