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