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Simplifying 6(x + -3) = 46 + -2x Reorder the terms: 6(-3 + x) = 46 + -2x (-3 * 6 + x * 6) = 46 + -2x (-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 = 8x -18 + 8x = 46 + -2x + 2x Combine like terms: -2x + 2x = 0 -18 + 8x = 46 + 0 -18 + 8x = 46 Add '18' to each side of the equation. -18 + 18 + 8x = 46 + 18 Combine like terms: -18 + 18 = 0 0 + 8x = 46 + 18 8x = 46 + 18 Combine like terms: 46 + 18 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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