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Simplifying 6(x + -4) + 6 = 4x + -46 Reorder the terms: 6(-4 + x) + 6 = 4x + -46 (-4 * 6 + x * 6) + 6 = 4x + -46 (-24 + 6x) + 6 = 4x + -46 Reorder the terms: -24 + 6 + 6x = 4x + -46 Combine like terms: -24 + 6 = -18 -18 + 6x = 4x + -46 Reorder the terms: -18 + 6x = -46 + 4x Solving -18 + 6x = -46 + 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. -18 + 6x + -4x = -46 + 4x + -4x Combine like terms: 6x + -4x = 2x -18 + 2x = -46 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 2x = -46 + 0 -18 + 2x = -46 Add '18' to each side of the equation. -18 + 18 + 2x = -46 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = -46 + 18 2x = -46 + 18 Combine like terms: -46 + 18 = -28 2x = -28 Divide each side by '2'. x = -14 Simplifying x = -14
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