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Simplifying 12(4x + -5) = 4(2x + 31) Reorder the terms: 12(-5 + 4x) = 4(2x + 31) (-5 * 12 + 4x * 12) = 4(2x + 31) (-60 + 48x) = 4(2x + 31) Reorder the terms: -60 + 48x = 4(31 + 2x) -60 + 48x = (31 * 4 + 2x * 4) -60 + 48x = (124 + 8x) Solving -60 + 48x = 124 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -60 + 48x + -8x = 124 + 8x + -8x Combine like terms: 48x + -8x = 40x -60 + 40x = 124 + 8x + -8x Combine like terms: 8x + -8x = 0 -60 + 40x = 124 + 0 -60 + 40x = 124 Add '60' to each side of the equation. -60 + 60 + 40x = 124 + 60 Combine like terms: -60 + 60 = 0 0 + 40x = 124 + 60 40x = 124 + 60 Combine like terms: 124 + 60 = 184 40x = 184 Divide each side by '40'. x = 4.6 Simplifying x = 4.6
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