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Simplifying 3x + -7 = 4(2 + -1x) + -1 Reorder the terms: -7 + 3x = 4(2 + -1x) + -1 -7 + 3x = (2 * 4 + -1x * 4) + -1 -7 + 3x = (8 + -4x) + -1 Reorder the terms: -7 + 3x = 8 + -1 + -4x Combine like terms: 8 + -1 = 7 -7 + 3x = 7 + -4x Solving -7 + 3x = 7 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -7 + 3x + 4x = 7 + -4x + 4x Combine like terms: 3x + 4x = 7x -7 + 7x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 -7 + 7x = 7 + 0 -7 + 7x = 7 Add '7' to each side of the equation. -7 + 7 + 7x = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 7x = 7 + 7 7x = 7 + 7 Combine like terms: 7 + 7 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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