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Simplifying -4(-11x + -12) + -2 = 7(x + 3) + 1 Reorder the terms: -4(-12 + -11x) + -2 = 7(x + 3) + 1 (-12 * -4 + -11x * -4) + -2 = 7(x + 3) + 1 (48 + 44x) + -2 = 7(x + 3) + 1 Reorder the terms: 48 + -2 + 44x = 7(x + 3) + 1 Combine like terms: 48 + -2 = 46 46 + 44x = 7(x + 3) + 1 Reorder the terms: 46 + 44x = 7(3 + x) + 1 46 + 44x = (3 * 7 + x * 7) + 1 46 + 44x = (21 + 7x) + 1 Reorder the terms: 46 + 44x = 21 + 1 + 7x Combine like terms: 21 + 1 = 22 46 + 44x = 22 + 7x Solving 46 + 44x = 22 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 46 + 44x + -7x = 22 + 7x + -7x Combine like terms: 44x + -7x = 37x 46 + 37x = 22 + 7x + -7x Combine like terms: 7x + -7x = 0 46 + 37x = 22 + 0 46 + 37x = 22 Add '-46' to each side of the equation. 46 + -46 + 37x = 22 + -46 Combine like terms: 46 + -46 = 0 0 + 37x = 22 + -46 37x = 22 + -46 Combine like terms: 22 + -46 = -24 37x = -24 Divide each side by '37'. x = -0.6486486486 Simplifying x = -0.6486486486
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