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