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Simplifying 7(x + -5) + -6(2 + -3x) = 12(x + 1) Reorder the terms: 7(-5 + x) + -6(2 + -3x) = 12(x + 1) (-5 * 7 + x * 7) + -6(2 + -3x) = 12(x + 1) (-35 + 7x) + -6(2 + -3x) = 12(x + 1) -35 + 7x + (2 * -6 + -3x * -6) = 12(x + 1) -35 + 7x + (-12 + 18x) = 12(x + 1) Reorder the terms: -35 + -12 + 7x + 18x = 12(x + 1) Combine like terms: -35 + -12 = -47 -47 + 7x + 18x = 12(x + 1) Combine like terms: 7x + 18x = 25x -47 + 25x = 12(x + 1) Reorder the terms: -47 + 25x = 12(1 + x) -47 + 25x = (1 * 12 + x * 12) -47 + 25x = (12 + 12x) Solving -47 + 25x = 12 + 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. -47 + 25x + -12x = 12 + 12x + -12x Combine like terms: 25x + -12x = 13x -47 + 13x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -47 + 13x = 12 + 0 -47 + 13x = 12 Add '47' to each side of the equation. -47 + 47 + 13x = 12 + 47 Combine like terms: -47 + 47 = 0 0 + 13x = 12 + 47 13x = 12 + 47 Combine like terms: 12 + 47 = 59 13x = 59 Divide each side by '13'. x = 4.538461538 Simplifying x = 4.538461538
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