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Simplifying 4(x + -3) + 2(3x + 1) = 15 Reorder the terms: 4(-3 + x) + 2(3x + 1) = 15 (-3 * 4 + x * 4) + 2(3x + 1) = 15 (-12 + 4x) + 2(3x + 1) = 15 Reorder the terms: -12 + 4x + 2(1 + 3x) = 15 -12 + 4x + (1 * 2 + 3x * 2) = 15 -12 + 4x + (2 + 6x) = 15 Reorder the terms: -12 + 2 + 4x + 6x = 15 Combine like terms: -12 + 2 = -10 -10 + 4x + 6x = 15 Combine like terms: 4x + 6x = 10x -10 + 10x = 15 Solving -10 + 10x = 15 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 = 15 + 10 Combine like terms: -10 + 10 = 0 0 + 10x = 15 + 10 10x = 15 + 10 Combine like terms: 15 + 10 = 25 10x = 25 Divide each side by '10'. x = 2.5 Simplifying x = 2.5
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