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Simplifying 7(x + 1) + -1(6 + -4x) = 10x Reorder the terms: 7(1 + x) + -1(6 + -4x) = 10x (1 * 7 + x * 7) + -1(6 + -4x) = 10x (7 + 7x) + -1(6 + -4x) = 10x 7 + 7x + (6 * -1 + -4x * -1) = 10x 7 + 7x + (-6 + 4x) = 10x Reorder the terms: 7 + -6 + 7x + 4x = 10x Combine like terms: 7 + -6 = 1 1 + 7x + 4x = 10x Combine like terms: 7x + 4x = 11x 1 + 11x = 10x Solving 1 + 11x = 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. 1 + 11x + -10x = 10x + -10x Combine like terms: 11x + -10x = 1x 1 + 1x = 10x + -10x Combine like terms: 10x + -10x = 0 1 + 1x = 0 Add '-1' to each side of the equation. 1 + -1 + 1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 0 + -1 1x = 0 + -1 Combine like terms: 0 + -1 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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