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Simplifying -1(2x + 6) + 3x = 1 + 2(4 + -2x) Reorder the terms: -1(6 + 2x) + 3x = 1 + 2(4 + -2x) (6 * -1 + 2x * -1) + 3x = 1 + 2(4 + -2x) (-6 + -2x) + 3x = 1 + 2(4 + -2x) Combine like terms: -2x + 3x = 1x -6 + 1x = 1 + 2(4 + -2x) -6 + 1x = 1 + (4 * 2 + -2x * 2) -6 + 1x = 1 + (8 + -4x) Combine like terms: 1 + 8 = 9 -6 + 1x = 9 + -4x Solving -6 + 1x = 9 + -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. -6 + 1x + 4x = 9 + -4x + 4x Combine like terms: 1x + 4x = 5x -6 + 5x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 5x = 9 + 0 -6 + 5x = 9 Add '6' to each side of the equation. -6 + 6 + 5x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 9 + 6 5x = 9 + 6 Combine like terms: 9 + 6 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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