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Simplifying 5(4x + -6) + 3(2(x + 4)) = 30x Reorder the terms: 5(-6 + 4x) + 3(2(x + 4)) = 30x (-6 * 5 + 4x * 5) + 3(2(x + 4)) = 30x (-30 + 20x) + 3(2(x + 4)) = 30x Reorder the terms: -30 + 20x + 3(2(4 + x)) = 30x -30 + 20x + 3((4 * 2 + x * 2)) = 30x -30 + 20x + 3((8 + 2x)) = 30x -30 + 20x + (8 * 3 + 2x * 3) = 30x -30 + 20x + (24 + 6x) = 30x Reorder the terms: -30 + 24 + 20x + 6x = 30x Combine like terms: -30 + 24 = -6 -6 + 20x + 6x = 30x Combine like terms: 20x + 6x = 26x -6 + 26x = 30x Solving -6 + 26x = 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -6 + 26x + -30x = 30x + -30x Combine like terms: 26x + -30x = -4x -6 + -4x = 30x + -30x Combine like terms: 30x + -30x = 0 -6 + -4x = 0 Add '6' to each side of the equation. -6 + 6 + -4x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = 0 + 6 -4x = 0 + 6 Combine like terms: 0 + 6 = 6 -4x = 6 Divide each side by '-4'. x = -1.5 Simplifying x = -1.5
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