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Simplifying 6(x + -3) = 2x + -46 Reorder the terms: 6(-3 + x) = 2x + -46 (-3 * 6 + x * 6) = 2x + -46 (-18 + 6x) = 2x + -46 Reorder the terms: -18 + 6x = -46 + 2x Solving -18 + 6x = -46 + 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 + 6x + -2x = -46 + 2x + -2x Combine like terms: 6x + -2x = 4x -18 + 4x = -46 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 4x = -46 + 0 -18 + 4x = -46 Add '18' to each side of the equation. -18 + 18 + 4x = -46 + 18 Combine like terms: -18 + 18 = 0 0 + 4x = -46 + 18 4x = -46 + 18 Combine like terms: -46 + 18 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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