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Simplifying 7(x + -4) + -3 = 46 Reorder the terms: 7(-4 + x) + -3 = 46 (-4 * 7 + x * 7) + -3 = 46 (-28 + 7x) + -3 = 46 Reorder the terms: -28 + -3 + 7x = 46 Combine like terms: -28 + -3 = -31 -31 + 7x = 46 Solving -31 + 7x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 7x = 46 + 31 Combine like terms: -31 + 31 = 0 0 + 7x = 46 + 31 7x = 46 + 31 Combine like terms: 46 + 31 = 77 7x = 77 Divide each side by '7'. x = 11 Simplifying x = 11
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