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Simplifying 7x + 8(x + -13) = 12(x + -21) + -5 Reorder the terms: 7x + 8(-13 + x) = 12(x + -21) + -5 7x + (-13 * 8 + x * 8) = 12(x + -21) + -5 7x + (-104 + 8x) = 12(x + -21) + -5 Reorder the terms: -104 + 7x + 8x = 12(x + -21) + -5 Combine like terms: 7x + 8x = 15x -104 + 15x = 12(x + -21) + -5 Reorder the terms: -104 + 15x = 12(-21 + x) + -5 -104 + 15x = (-21 * 12 + x * 12) + -5 -104 + 15x = (-252 + 12x) + -5 Reorder the terms: -104 + 15x = -252 + -5 + 12x Combine like terms: -252 + -5 = -257 -104 + 15x = -257 + 12x Solving -104 + 15x = -257 + 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. -104 + 15x + -12x = -257 + 12x + -12x Combine like terms: 15x + -12x = 3x -104 + 3x = -257 + 12x + -12x Combine like terms: 12x + -12x = 0 -104 + 3x = -257 + 0 -104 + 3x = -257 Add '104' to each side of the equation. -104 + 104 + 3x = -257 + 104 Combine like terms: -104 + 104 = 0 0 + 3x = -257 + 104 3x = -257 + 104 Combine like terms: -257 + 104 = -153 3x = -153 Divide each side by '3'. x = -51 Simplifying x = -51
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