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Simplifying 3x + -7 = 2(4x + -1) Reorder the terms: -7 + 3x = 2(4x + -1) Reorder the terms: -7 + 3x = 2(-1 + 4x) -7 + 3x = (-1 * 2 + 4x * 2) -7 + 3x = (-2 + 8x) Solving -7 + 3x = -2 + 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. -7 + 3x + -8x = -2 + 8x + -8x Combine like terms: 3x + -8x = -5x -7 + -5x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + -5x = -2 + 0 -7 + -5x = -2 Add '7' to each side of the equation. -7 + 7 + -5x = -2 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = -2 + 7 -5x = -2 + 7 Combine like terms: -2 + 7 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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