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Simplifying 6 + 5(11x + 8) = -7(9x + -4) Reorder the terms: 6 + 5(8 + 11x) = -7(9x + -4) 6 + (8 * 5 + 11x * 5) = -7(9x + -4) 6 + (40 + 55x) = -7(9x + -4) Combine like terms: 6 + 40 = 46 46 + 55x = -7(9x + -4) Reorder the terms: 46 + 55x = -7(-4 + 9x) 46 + 55x = (-4 * -7 + 9x * -7) 46 + 55x = (28 + -63x) Solving 46 + 55x = 28 + -63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63x' to each side of the equation. 46 + 55x + 63x = 28 + -63x + 63x Combine like terms: 55x + 63x = 118x 46 + 118x = 28 + -63x + 63x Combine like terms: -63x + 63x = 0 46 + 118x = 28 + 0 46 + 118x = 28 Add '-46' to each side of the equation. 46 + -46 + 118x = 28 + -46 Combine like terms: 46 + -46 = 0 0 + 118x = 28 + -46 118x = 28 + -46 Combine like terms: 28 + -46 = -18 118x = -18 Divide each side by '118'. x = -0.1525423729 Simplifying x = -0.1525423729
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