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Simplifying 4(-8x + 9) = 10(-4x + -10) Reorder the terms: 4(9 + -8x) = 10(-4x + -10) (9 * 4 + -8x * 4) = 10(-4x + -10) (36 + -32x) = 10(-4x + -10) Reorder the terms: 36 + -32x = 10(-10 + -4x) 36 + -32x = (-10 * 10 + -4x * 10) 36 + -32x = (-100 + -40x) Solving 36 + -32x = -100 + -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. 36 + -32x + 40x = -100 + -40x + 40x Combine like terms: -32x + 40x = 8x 36 + 8x = -100 + -40x + 40x Combine like terms: -40x + 40x = 0 36 + 8x = -100 + 0 36 + 8x = -100 Add '-36' to each side of the equation. 36 + -36 + 8x = -100 + -36 Combine like terms: 36 + -36 = 0 0 + 8x = -100 + -36 8x = -100 + -36 Combine like terms: -100 + -36 = -136 8x = -136 Divide each side by '8'. x = -17 Simplifying x = -17
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