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