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Simplifying 5x + -7 = 2(4x + 1) Reorder the terms: -7 + 5x = 2(4x + 1) Reorder the terms: -7 + 5x = 2(1 + 4x) -7 + 5x = (1 * 2 + 4x * 2) -7 + 5x = (2 + 8x) Solving -7 + 5x = 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 + 5x + -8x = 2 + 8x + -8x Combine like terms: 5x + -8x = -3x -7 + -3x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + -3x = 2 + 0 -7 + -3x = 2 Add '7' to each side of the equation. -7 + 7 + -3x = 2 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 2 + 7 -3x = 2 + 7 Combine like terms: 2 + 7 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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