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Simplifying 10 + -8x = -3(4x + 6) Reorder the terms: 10 + -8x = -3(6 + 4x) 10 + -8x = (6 * -3 + 4x * -3) 10 + -8x = (-18 + -12x) Solving 10 + -8x = -18 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 10 + -8x + 12x = -18 + -12x + 12x Combine like terms: -8x + 12x = 4x 10 + 4x = -18 + -12x + 12x Combine like terms: -12x + 12x = 0 10 + 4x = -18 + 0 10 + 4x = -18 Add '-10' to each side of the equation. 10 + -10 + 4x = -18 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = -18 + -10 4x = -18 + -10 Combine like terms: -18 + -10 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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