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