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Simplifying 7(x + -7) + 31 = 2(x + -4) Reorder the terms: 7(-7 + x) + 31 = 2(x + -4) (-7 * 7 + x * 7) + 31 = 2(x + -4) (-49 + 7x) + 31 = 2(x + -4) Reorder the terms: -49 + 31 + 7x = 2(x + -4) Combine like terms: -49 + 31 = -18 -18 + 7x = 2(x + -4) Reorder the terms: -18 + 7x = 2(-4 + x) -18 + 7x = (-4 * 2 + x * 2) -18 + 7x = (-8 + 2x) Solving -18 + 7x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -18 + 7x + -2x = -8 + 2x + -2x Combine like terms: 7x + -2x = 5x -18 + 5x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 5x = -8 + 0 -18 + 5x = -8 Add '18' to each side of the equation. -18 + 18 + 5x = -8 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = -8 + 18 5x = -8 + 18 Combine like terms: -8 + 18 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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