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Simplifying 8x + -10 = 2 + -4(-5 + -6x) Reorder the terms: -10 + 8x = 2 + -4(-5 + -6x) -10 + 8x = 2 + (-5 * -4 + -6x * -4) -10 + 8x = 2 + (20 + 24x) Combine like terms: 2 + 20 = 22 -10 + 8x = 22 + 24x Solving -10 + 8x = 22 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -10 + 8x + -24x = 22 + 24x + -24x Combine like terms: 8x + -24x = -16x -10 + -16x = 22 + 24x + -24x Combine like terms: 24x + -24x = 0 -10 + -16x = 22 + 0 -10 + -16x = 22 Add '10' to each side of the equation. -10 + 10 + -16x = 22 + 10 Combine like terms: -10 + 10 = 0 0 + -16x = 22 + 10 -16x = 22 + 10 Combine like terms: 22 + 10 = 32 -16x = 32 Divide each side by '-16'. x = -2 Simplifying x = -2
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