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Simplifying 9(8 + 6x) + (-3) = (-19) + -4((-3) + -1(-4x)) (8 * 9 + 6x * 9) + (-3) = (-19) + -4((-3) + -1(-4x)) (72 + 54x) + (-3) = (-19) + -4((-3) + -1(-4x)) 72 + 54x + -3 = (-19) + -4((-3) + -1(-4x)) Reorder the terms: 72 + -3 + 54x = (-19) + -4((-3) + -1(-4x)) Combine like terms: 72 + -3 = 69 69 + 54x = (-19) + -4((-3) + -1(-4x)) 69 + 54x = -19 + -4((-3) + -1(-4x)) 69 + 54x = -19 + -4(-3 + -1(-4x)) Remove parenthesis around (-4x) 69 + 54x = -19 + -4(-3 + -1 * -4x) Multiply -1 * -4 69 + 54x = -19 + -4(-3 + 4x) 69 + 54x = -19 + (-3 * -4 + 4x * -4) 69 + 54x = -19 + (12 + -16x) Combine like terms: -19 + 12 = -7 69 + 54x = -7 + -16x Solving 69 + 54x = -7 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 69 + 54x + 16x = -7 + -16x + 16x Combine like terms: 54x + 16x = 70x 69 + 70x = -7 + -16x + 16x Combine like terms: -16x + 16x = 0 69 + 70x = -7 + 0 69 + 70x = -7 Add '-69' to each side of the equation. 69 + -69 + 70x = -7 + -69 Combine like terms: 69 + -69 = 0 0 + 70x = -7 + -69 70x = -7 + -69 Combine like terms: -7 + -69 = -76 70x = -76 Divide each side by '70'. x = -1.085714286 Simplifying x = -1.085714286
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