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Simplifying 12 + -4(2x + -11) = -3(2x + 4) Reorder the terms: 12 + -4(-11 + 2x) = -3(2x + 4) 12 + (-11 * -4 + 2x * -4) = -3(2x + 4) 12 + (44 + -8x) = -3(2x + 4) Combine like terms: 12 + 44 = 56 56 + -8x = -3(2x + 4) Reorder the terms: 56 + -8x = -3(4 + 2x) 56 + -8x = (4 * -3 + 2x * -3) 56 + -8x = (-12 + -6x) Solving 56 + -8x = -12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 56 + -8x + 6x = -12 + -6x + 6x Combine like terms: -8x + 6x = -2x 56 + -2x = -12 + -6x + 6x Combine like terms: -6x + 6x = 0 56 + -2x = -12 + 0 56 + -2x = -12 Add '-56' to each side of the equation. 56 + -56 + -2x = -12 + -56 Combine like terms: 56 + -56 = 0 0 + -2x = -12 + -56 -2x = -12 + -56 Combine like terms: -12 + -56 = -68 -2x = -68 Divide each side by '-2'. x = 34 Simplifying x = 34
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