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Simplifying 2(3x + -15) + 4(x + 1) = 32 Reorder the terms: 2(-15 + 3x) + 4(x + 1) = 32 (-15 * 2 + 3x * 2) + 4(x + 1) = 32 (-30 + 6x) + 4(x + 1) = 32 Reorder the terms: -30 + 6x + 4(1 + x) = 32 -30 + 6x + (1 * 4 + x * 4) = 32 -30 + 6x + (4 + 4x) = 32 Reorder the terms: -30 + 4 + 6x + 4x = 32 Combine like terms: -30 + 4 = -26 -26 + 6x + 4x = 32 Combine like terms: 6x + 4x = 10x -26 + 10x = 32 Solving -26 + 10x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 10x = 32 + 26 Combine like terms: -26 + 26 = 0 0 + 10x = 32 + 26 10x = 32 + 26 Combine like terms: 32 + 26 = 58 10x = 58 Divide each side by '10'. x = 5.8 Simplifying x = 5.8
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