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Simplifying 7x + -46 = 3(x + -6) Reorder the terms: -46 + 7x = 3(x + -6) Reorder the terms: -46 + 7x = 3(-6 + x) -46 + 7x = (-6 * 3 + x * 3) -46 + 7x = (-18 + 3x) Solving -46 + 7x = -18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -46 + 7x + -3x = -18 + 3x + -3x Combine like terms: 7x + -3x = 4x -46 + 4x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 -46 + 4x = -18 + 0 -46 + 4x = -18 Add '46' to each side of the equation. -46 + 46 + 4x = -18 + 46 Combine like terms: -46 + 46 = 0 0 + 4x = -18 + 46 4x = -18 + 46 Combine like terms: -18 + 46 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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