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Simplifying -5(2x + 9) = 2(x + -8) + -11 Reorder the terms: -5(9 + 2x) = 2(x + -8) + -11 (9 * -5 + 2x * -5) = 2(x + -8) + -11 (-45 + -10x) = 2(x + -8) + -11 Reorder the terms: -45 + -10x = 2(-8 + x) + -11 -45 + -10x = (-8 * 2 + x * 2) + -11 -45 + -10x = (-16 + 2x) + -11 Reorder the terms: -45 + -10x = -16 + -11 + 2x Combine like terms: -16 + -11 = -27 -45 + -10x = -27 + 2x Solving -45 + -10x = -27 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -45 + -10x + -2x = -27 + 2x + -2x Combine like terms: -10x + -2x = -12x -45 + -12x = -27 + 2x + -2x Combine like terms: 2x + -2x = 0 -45 + -12x = -27 + 0 -45 + -12x = -27 Add '45' to each side of the equation. -45 + 45 + -12x = -27 + 45 Combine like terms: -45 + 45 = 0 0 + -12x = -27 + 45 -12x = -27 + 45 Combine like terms: -27 + 45 = 18 -12x = 18 Divide each side by '-12'. x = -1.5 Simplifying x = -1.5
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