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Simplifying 2(x + 1) + 4x = 3(x + -1) + 7 Reorder the terms: 2(1 + x) + 4x = 3(x + -1) + 7 (1 * 2 + x * 2) + 4x = 3(x + -1) + 7 (2 + 2x) + 4x = 3(x + -1) + 7 Combine like terms: 2x + 4x = 6x 2 + 6x = 3(x + -1) + 7 Reorder the terms: 2 + 6x = 3(-1 + x) + 7 2 + 6x = (-1 * 3 + x * 3) + 7 2 + 6x = (-3 + 3x) + 7 Reorder the terms: 2 + 6x = -3 + 7 + 3x Combine like terms: -3 + 7 = 4 2 + 6x = 4 + 3x Solving 2 + 6x = 4 + 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. 2 + 6x + -3x = 4 + 3x + -3x Combine like terms: 6x + -3x = 3x 2 + 3x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 3x = 4 + 0 2 + 3x = 4 Add '-2' to each side of the equation. 2 + -2 + 3x = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 4 + -2 3x = 4 + -2 Combine like terms: 4 + -2 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667
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