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Simplifying 10 + 2(-4x + -3) = -6 + -4(8x + 10) Reorder the terms: 10 + 2(-3 + -4x) = -6 + -4(8x + 10) 10 + (-3 * 2 + -4x * 2) = -6 + -4(8x + 10) 10 + (-6 + -8x) = -6 + -4(8x + 10) Combine like terms: 10 + -6 = 4 4 + -8x = -6 + -4(8x + 10) Reorder the terms: 4 + -8x = -6 + -4(10 + 8x) 4 + -8x = -6 + (10 * -4 + 8x * -4) 4 + -8x = -6 + (-40 + -32x) Combine like terms: -6 + -40 = -46 4 + -8x = -46 + -32x Solving 4 + -8x = -46 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 4 + -8x + 32x = -46 + -32x + 32x Combine like terms: -8x + 32x = 24x 4 + 24x = -46 + -32x + 32x Combine like terms: -32x + 32x = 0 4 + 24x = -46 + 0 4 + 24x = -46 Add '-4' to each side of the equation. 4 + -4 + 24x = -46 + -4 Combine like terms: 4 + -4 = 0 0 + 24x = -46 + -4 24x = -46 + -4 Combine like terms: -46 + -4 = -50 24x = -50 Divide each side by '24'. x = -2.083333333 Simplifying x = -2.083333333
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