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Simplifying 2(3x + -1) + -2x = 7x + 3 Reorder the terms: 2(-1 + 3x) + -2x = 7x + 3 (-1 * 2 + 3x * 2) + -2x = 7x + 3 (-2 + 6x) + -2x = 7x + 3 Combine like terms: 6x + -2x = 4x -2 + 4x = 7x + 3 Reorder the terms: -2 + 4x = 3 + 7x Solving -2 + 4x = 3 + 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. -2 + 4x + -7x = 3 + 7x + -7x Combine like terms: 4x + -7x = -3x -2 + -3x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -3x = 3 + 0 -2 + -3x = 3 Add '2' to each side of the equation. -2 + 2 + -3x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 3 + 2 -3x = 3 + 2 Combine like terms: 3 + 2 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667
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