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Simplifying 7(x + -5) = 12(x + 4) + 3 Reorder the terms: 7(-5 + x) = 12(x + 4) + 3 (-5 * 7 + x * 7) = 12(x + 4) + 3 (-35 + 7x) = 12(x + 4) + 3 Reorder the terms: -35 + 7x = 12(4 + x) + 3 -35 + 7x = (4 * 12 + x * 12) + 3 -35 + 7x = (48 + 12x) + 3 Reorder the terms: -35 + 7x = 48 + 3 + 12x Combine like terms: 48 + 3 = 51 -35 + 7x = 51 + 12x Solving -35 + 7x = 51 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -35 + 7x + -12x = 51 + 12x + -12x Combine like terms: 7x + -12x = -5x -35 + -5x = 51 + 12x + -12x Combine like terms: 12x + -12x = 0 -35 + -5x = 51 + 0 -35 + -5x = 51 Add '35' to each side of the equation. -35 + 35 + -5x = 51 + 35 Combine like terms: -35 + 35 = 0 0 + -5x = 51 + 35 -5x = 51 + 35 Combine like terms: 51 + 35 = 86 -5x = 86 Divide each side by '-5'. x = -17.2 Simplifying x = -17.2
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