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Simplifying 30(2x + -1) = 6(x + 4) + 3 Reorder the terms: 30(-1 + 2x) = 6(x + 4) + 3 (-1 * 30 + 2x * 30) = 6(x + 4) + 3 (-30 + 60x) = 6(x + 4) + 3 Reorder the terms: -30 + 60x = 6(4 + x) + 3 -30 + 60x = (4 * 6 + x * 6) + 3 -30 + 60x = (24 + 6x) + 3 Reorder the terms: -30 + 60x = 24 + 3 + 6x Combine like terms: 24 + 3 = 27 -30 + 60x = 27 + 6x Solving -30 + 60x = 27 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -30 + 60x + -6x = 27 + 6x + -6x Combine like terms: 60x + -6x = 54x -30 + 54x = 27 + 6x + -6x Combine like terms: 6x + -6x = 0 -30 + 54x = 27 + 0 -30 + 54x = 27 Add '30' to each side of the equation. -30 + 30 + 54x = 27 + 30 Combine like terms: -30 + 30 = 0 0 + 54x = 27 + 30 54x = 27 + 30 Combine like terms: 27 + 30 = 57 54x = 57 Divide each side by '54'. x = 1.055555556 Simplifying x = 1.055555556
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