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Simplifying -5x + 10 = -2(4x + 1) Reorder the terms: 10 + -5x = -2(4x + 1) Reorder the terms: 10 + -5x = -2(1 + 4x) 10 + -5x = (1 * -2 + 4x * -2) 10 + -5x = (-2 + -8x) Solving 10 + -5x = -2 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 10 + -5x + 8x = -2 + -8x + 8x Combine like terms: -5x + 8x = 3x 10 + 3x = -2 + -8x + 8x Combine like terms: -8x + 8x = 0 10 + 3x = -2 + 0 10 + 3x = -2 Add '-10' to each side of the equation. 10 + -10 + 3x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = -2 + -10 3x = -2 + -10 Combine like terms: -2 + -10 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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