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Simplifying 11 + 4(x + -3) = 7 + -12(x + -2) Reorder the terms: 11 + 4(-3 + x) = 7 + -12(x + -2) 11 + (-3 * 4 + x * 4) = 7 + -12(x + -2) 11 + (-12 + 4x) = 7 + -12(x + -2) Combine like terms: 11 + -12 = -1 -1 + 4x = 7 + -12(x + -2) Reorder the terms: -1 + 4x = 7 + -12(-2 + x) -1 + 4x = 7 + (-2 * -12 + x * -12) -1 + 4x = 7 + (24 + -12x) Combine like terms: 7 + 24 = 31 -1 + 4x = 31 + -12x Solving -1 + 4x = 31 + -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. -1 + 4x + 12x = 31 + -12x + 12x Combine like terms: 4x + 12x = 16x -1 + 16x = 31 + -12x + 12x Combine like terms: -12x + 12x = 0 -1 + 16x = 31 + 0 -1 + 16x = 31 Add '1' to each side of the equation. -1 + 1 + 16x = 31 + 1 Combine like terms: -1 + 1 = 0 0 + 16x = 31 + 1 16x = 31 + 1 Combine like terms: 31 + 1 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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