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Simplifying 6(x + -3) + 4(x + 2) = 6 Reorder the terms: 6(-3 + x) + 4(x + 2) = 6 (-3 * 6 + x * 6) + 4(x + 2) = 6 (-18 + 6x) + 4(x + 2) = 6 Reorder the terms: -18 + 6x + 4(2 + x) = 6 -18 + 6x + (2 * 4 + x * 4) = 6 -18 + 6x + (8 + 4x) = 6 Reorder the terms: -18 + 8 + 6x + 4x = 6 Combine like terms: -18 + 8 = -10 -10 + 6x + 4x = 6 Combine like terms: 6x + 4x = 10x -10 + 10x = 6 Solving -10 + 10x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 10x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 10x = 6 + 10 10x = 6 + 10 Combine like terms: 6 + 10 = 16 10x = 16 Divide each side by '10'. x = 1.6 Simplifying x = 1.6
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