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Simplifying 6(2x + -1) + 4(x + -3) = 46 Reorder the terms: 6(-1 + 2x) + 4(x + -3) = 46 (-1 * 6 + 2x * 6) + 4(x + -3) = 46 (-6 + 12x) + 4(x + -3) = 46 Reorder the terms: -6 + 12x + 4(-3 + x) = 46 -6 + 12x + (-3 * 4 + x * 4) = 46 -6 + 12x + (-12 + 4x) = 46 Reorder the terms: -6 + -12 + 12x + 4x = 46 Combine like terms: -6 + -12 = -18 -18 + 12x + 4x = 46 Combine like terms: 12x + 4x = 16x -18 + 16x = 46 Solving -18 + 16x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 16x = 46 + 18 Combine like terms: -18 + 18 = 0 0 + 16x = 46 + 18 16x = 46 + 18 Combine like terms: 46 + 18 = 64 16x = 64 Divide each side by '16'. x = 4 Simplifying x = 4
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