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Simplifying 10 + -7x = 3 + -2(5x + 1) Reorder the terms: 10 + -7x = 3 + -2(1 + 5x) 10 + -7x = 3 + (1 * -2 + 5x * -2) 10 + -7x = 3 + (-2 + -10x) Combine like terms: 3 + -2 = 1 10 + -7x = 1 + -10x Solving 10 + -7x = 1 + -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 + -7x + 10x = 1 + -10x + 10x Combine like terms: -7x + 10x = 3x 10 + 3x = 1 + -10x + 10x Combine like terms: -10x + 10x = 0 10 + 3x = 1 + 0 10 + 3x = 1 Add '-10' to each side of the equation. 10 + -10 + 3x = 1 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 1 + -10 3x = 1 + -10 Combine like terms: 1 + -10 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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