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Simplifying 2(3x + 1) = 3 + -1(x + -4) Reorder the terms: 2(1 + 3x) = 3 + -1(x + -4) (1 * 2 + 3x * 2) = 3 + -1(x + -4) (2 + 6x) = 3 + -1(x + -4) Reorder the terms: 2 + 6x = 3 + -1(-4 + x) 2 + 6x = 3 + (-4 * -1 + x * -1) 2 + 6x = 3 + (4 + -1x) Combine like terms: 3 + 4 = 7 2 + 6x = 7 + -1x Solving 2 + 6x = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + 6x + x = 7 + -1x + x Combine like terms: 6x + x = 7x 2 + 7x = 7 + -1x + x Combine like terms: -1x + x = 0 2 + 7x = 7 + 0 2 + 7x = 7 Add '-2' to each side of the equation. 2 + -2 + 7x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 7 + -2 7x = 7 + -2 Combine like terms: 7 + -2 = 5 7x = 5 Divide each side by '7'. x = 0.7142857143 Simplifying x = 0.7142857143
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