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Simplifying 48(4x + 4) = 30(3x + -1) Reorder the terms: 48(4 + 4x) = 30(3x + -1) (4 * 48 + 4x * 48) = 30(3x + -1) (192 + 192x) = 30(3x + -1) Reorder the terms: 192 + 192x = 30(-1 + 3x) 192 + 192x = (-1 * 30 + 3x * 30) 192 + 192x = (-30 + 90x) Solving 192 + 192x = -30 + 90x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90x' to each side of the equation. 192 + 192x + -90x = -30 + 90x + -90x Combine like terms: 192x + -90x = 102x 192 + 102x = -30 + 90x + -90x Combine like terms: 90x + -90x = 0 192 + 102x = -30 + 0 192 + 102x = -30 Add '-192' to each side of the equation. 192 + -192 + 102x = -30 + -192 Combine like terms: 192 + -192 = 0 0 + 102x = -30 + -192 102x = -30 + -192 Combine like terms: -30 + -192 = -222 102x = -222 Divide each side by '102'. x = -2.176470588 Simplifying x = -2.176470588
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