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Simplifying 7x + 6 + -1(x + 2) = 4x + -2 * 3 Reorder the terms: 7x + 6 + -1(2 + x) = 4x + -2 * 3 7x + 6 + (2 * -1 + x * -1) = 4x + -2 * 3 7x + 6 + (-2 + -1x) = 4x + -2 * 3 Reorder the terms: 6 + -2 + 7x + -1x = 4x + -2 * 3 Combine like terms: 6 + -2 = 4 4 + 7x + -1x = 4x + -2 * 3 Combine like terms: 7x + -1x = 6x 4 + 6x = 4x + -2 * 3 Multiply -2 * 3 4 + 6x = 4x + -6 Reorder the terms: 4 + 6x = -6 + 4x Solving 4 + 6x = -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. 4 + 6x + -4x = -6 + 4x + -4x Combine like terms: 6x + -4x = 2x 4 + 2x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + 2x = -6 + 0 4 + 2x = -6 Add '-4' to each side of the equation. 4 + -4 + 2x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = -6 + -4 2x = -6 + -4 Combine like terms: -6 + -4 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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