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Simplifying 3x + -1(2x + -6) + 4x + 2 = 8x + 3 Reorder the terms: 3x + -1(-6 + 2x) + 4x + 2 = 8x + 3 3x + (-6 * -1 + 2x * -1) + 4x + 2 = 8x + 3 3x + (6 + -2x) + 4x + 2 = 8x + 3 Reorder the terms: 6 + 2 + 3x + -2x + 4x = 8x + 3 Combine like terms: 6 + 2 = 8 8 + 3x + -2x + 4x = 8x + 3 Combine like terms: 3x + -2x = 1x 8 + 1x + 4x = 8x + 3 Combine like terms: 1x + 4x = 5x 8 + 5x = 8x + 3 Reorder the terms: 8 + 5x = 3 + 8x Solving 8 + 5x = 3 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 8 + 5x + -8x = 3 + 8x + -8x Combine like terms: 5x + -8x = -3x 8 + -3x = 3 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -3x = 3 + 0 8 + -3x = 3 Add '-8' to each side of the equation. 8 + -8 + -3x = 3 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 3 + -8 -3x = 3 + -8 Combine like terms: 3 + -8 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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