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Simplifying 10x + -1(6x + -10) = 7 + 3x Reorder the terms: 10x + -1(-10 + 6x) = 7 + 3x 10x + (-10 * -1 + 6x * -1) = 7 + 3x 10x + (10 + -6x) = 7 + 3x Reorder the terms: 10 + 10x + -6x = 7 + 3x Combine like terms: 10x + -6x = 4x 10 + 4x = 7 + 3x Solving 10 + 4x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + 4x + -3x = 7 + 3x + -3x Combine like terms: 4x + -3x = 1x 10 + 1x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 1x = 7 + 0 10 + 1x = 7 Add '-10' to each side of the equation. 10 + -10 + 1x = 7 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 7 + -10 1x = 7 + -10 Combine like terms: 7 + -10 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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