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Simplifying 4(x + -4) + 2(3x + 1) = 30 Reorder the terms: 4(-4 + x) + 2(3x + 1) = 30 (-4 * 4 + x * 4) + 2(3x + 1) = 30 (-16 + 4x) + 2(3x + 1) = 30 Reorder the terms: -16 + 4x + 2(1 + 3x) = 30 -16 + 4x + (1 * 2 + 3x * 2) = 30 -16 + 4x + (2 + 6x) = 30 Reorder the terms: -16 + 2 + 4x + 6x = 30 Combine like terms: -16 + 2 = -14 -14 + 4x + 6x = 30 Combine like terms: 4x + 6x = 10x -14 + 10x = 30 Solving -14 + 10x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 10x = 30 + 14 Combine like terms: -14 + 14 = 0 0 + 10x = 30 + 14 10x = 30 + 14 Combine like terms: 30 + 14 = 44 10x = 44 Divide each side by '10'. x = 4.4 Simplifying x = 4.4
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