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Simplifying -10 + 8x = -6(7 + 4x) -10 + 8x = (7 * -6 + 4x * -6) -10 + 8x = (-42 + -24x) Solving -10 + 8x = -42 + -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 = -42 + -24x + 24x Combine like terms: 8x + 24x = 32x -10 + 32x = -42 + -24x + 24x Combine like terms: -24x + 24x = 0 -10 + 32x = -42 + 0 -10 + 32x = -42 Add '10' to each side of the equation. -10 + 10 + 32x = -42 + 10 Combine like terms: -10 + 10 = 0 0 + 32x = -42 + 10 32x = -42 + 10 Combine like terms: -42 + 10 = -32 32x = -32 Divide each side by '32'. x = -1 Simplifying x = -1
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