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Simplifying 5 + -8(3x + -8) = -3(10x + -3) Reorder the terms: 5 + -8(-8 + 3x) = -3(10x + -3) 5 + (-8 * -8 + 3x * -8) = -3(10x + -3) 5 + (64 + -24x) = -3(10x + -3) Combine like terms: 5 + 64 = 69 69 + -24x = -3(10x + -3) Reorder the terms: 69 + -24x = -3(-3 + 10x) 69 + -24x = (-3 * -3 + 10x * -3) 69 + -24x = (9 + -30x) Solving 69 + -24x = 9 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 69 + -24x + 30x = 9 + -30x + 30x Combine like terms: -24x + 30x = 6x 69 + 6x = 9 + -30x + 30x Combine like terms: -30x + 30x = 0 69 + 6x = 9 + 0 69 + 6x = 9 Add '-69' to each side of the equation. 69 + -69 + 6x = 9 + -69 Combine like terms: 69 + -69 = 0 0 + 6x = 9 + -69 6x = 9 + -69 Combine like terms: 9 + -69 = -60 6x = -60 Divide each side by '6'. x = -10 Simplifying x = -10
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