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Simplifying 3x + 2 = 10 + -4(x + 1) Reorder the terms: 2 + 3x = 10 + -4(x + 1) Reorder the terms: 2 + 3x = 10 + -4(1 + x) 2 + 3x = 10 + (1 * -4 + x * -4) 2 + 3x = 10 + (-4 + -4x) Combine like terms: 10 + -4 = 6 2 + 3x = 6 + -4x Solving 2 + 3x = 6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 2 + 3x + 4x = 6 + -4x + 4x Combine like terms: 3x + 4x = 7x 2 + 7x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 7x = 6 + 0 2 + 7x = 6 Add '-2' to each side of the equation. 2 + -2 + 7x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 6 + -2 7x = 6 + -2 Combine like terms: 6 + -2 = 4 7x = 4 Divide each side by '7'. x = 0.5714285714 Simplifying x = 0.5714285714
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