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Simplifying 10 + 3[x + -1] + 7x = 3x + 1 Reorder the terms: 10 + 3[-1 + x] + 7x = 3x + 1 10 + [-1 * 3 + x * 3] + 7x = 3x + 1 10 + [-3 + 3x] + 7x = 3x + 1 Combine like terms: 10 + -3 = 7 7 + 3x + 7x = 3x + 1 Combine like terms: 3x + 7x = 10x 7 + 10x = 3x + 1 Reorder the terms: 7 + 10x = 1 + 3x Solving 7 + 10x = 1 + 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. 7 + 10x + -3x = 1 + 3x + -3x Combine like terms: 10x + -3x = 7x 7 + 7x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 7x = 1 + 0 7 + 7x = 1 Add '-7' to each side of the equation. 7 + -7 + 7x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = 1 + -7 7x = 1 + -7 Combine like terms: 1 + -7 = -6 7x = -6 Divide each side by '7'. x = -0.8571428571 Simplifying x = -0.8571428571
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