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Simplifying 11 + -5(9x + 2 + 4x + -8) = -4(10x + 42) + -23 Reorder the terms: 11 + -5(2 + -8 + 9x + 4x) = -4(10x + 42) + -23 Combine like terms: 2 + -8 = -6 11 + -5(-6 + 9x + 4x) = -4(10x + 42) + -23 Combine like terms: 9x + 4x = 13x 11 + -5(-6 + 13x) = -4(10x + 42) + -23 11 + (-6 * -5 + 13x * -5) = -4(10x + 42) + -23 11 + (30 + -65x) = -4(10x + 42) + -23 Combine like terms: 11 + 30 = 41 41 + -65x = -4(10x + 42) + -23 Reorder the terms: 41 + -65x = -4(42 + 10x) + -23 41 + -65x = (42 * -4 + 10x * -4) + -23 41 + -65x = (-168 + -40x) + -23 Reorder the terms: 41 + -65x = -168 + -23 + -40x Combine like terms: -168 + -23 = -191 41 + -65x = -191 + -40x Solving 41 + -65x = -191 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 41 + -65x + 40x = -191 + -40x + 40x Combine like terms: -65x + 40x = -25x 41 + -25x = -191 + -40x + 40x Combine like terms: -40x + 40x = 0 41 + -25x = -191 + 0 41 + -25x = -191 Add '-41' to each side of the equation. 41 + -41 + -25x = -191 + -41 Combine like terms: 41 + -41 = 0 0 + -25x = -191 + -41 -25x = -191 + -41 Combine like terms: -191 + -41 = -232 -25x = -232 Divide each side by '-25'. x = 9.28 Simplifying x = 9.28
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