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Simplifying 4x + -1(x + 2) + 6 = 2(3x + 8) Reorder the terms: 4x + -1(2 + x) + 6 = 2(3x + 8) 4x + (2 * -1 + x * -1) + 6 = 2(3x + 8) 4x + (-2 + -1x) + 6 = 2(3x + 8) Reorder the terms: -2 + 6 + 4x + -1x = 2(3x + 8) Combine like terms: -2 + 6 = 4 4 + 4x + -1x = 2(3x + 8) Combine like terms: 4x + -1x = 3x 4 + 3x = 2(3x + 8) Reorder the terms: 4 + 3x = 2(8 + 3x) 4 + 3x = (8 * 2 + 3x * 2) 4 + 3x = (16 + 6x) Solving 4 + 3x = 16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 3x + -6x = 16 + 6x + -6x Combine like terms: 3x + -6x = -3x 4 + -3x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -3x = 16 + 0 4 + -3x = 16 Add '-4' to each side of the equation. 4 + -4 + -3x = 16 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 16 + -4 -3x = 16 + -4 Combine like terms: 16 + -4 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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