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Simplifying 2(3x + 4) + 4(x + -3) = 6 Reorder the terms: 2(4 + 3x) + 4(x + -3) = 6 (4 * 2 + 3x * 2) + 4(x + -3) = 6 (8 + 6x) + 4(x + -3) = 6 Reorder the terms: 8 + 6x + 4(-3 + x) = 6 8 + 6x + (-3 * 4 + x * 4) = 6 8 + 6x + (-12 + 4x) = 6 Reorder the terms: 8 + -12 + 6x + 4x = 6 Combine like terms: 8 + -12 = -4 -4 + 6x + 4x = 6 Combine like terms: 6x + 4x = 10x -4 + 10x = 6 Solving -4 + 10x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 10x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 10x = 6 + 4 10x = 6 + 4 Combine like terms: 6 + 4 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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