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Simplifying -46 = 2x + 6(-1x + -3) Reorder the terms: -46 = 2x + 6(-3 + -1x) -46 = 2x + (-3 * 6 + -1x * 6) -46 = 2x + (-18 + -6x) Reorder the terms: -46 = -18 + 2x + -6x Combine like terms: 2x + -6x = -4x -46 = -18 + -4x Solving -46 = -18 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -46 + 4x = -18 + -4x + 4x Combine like terms: -4x + 4x = 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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