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Simplifying -8x + 10 = -2(5x + 3) Reorder the terms: 10 + -8x = -2(5x + 3) Reorder the terms: 10 + -8x = -2(3 + 5x) 10 + -8x = (3 * -2 + 5x * -2) 10 + -8x = (-6 + -10x) Solving 10 + -8x = -6 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 10 + -8x + 10x = -6 + -10x + 10x Combine like terms: -8x + 10x = 2x 10 + 2x = -6 + -10x + 10x Combine like terms: -10x + 10x = 0 10 + 2x = -6 + 0 10 + 2x = -6 Add '-10' to each side of the equation. 10 + -10 + 2x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = -6 + -10 2x = -6 + -10 Combine like terms: -6 + -10 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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