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Simplifying 4x + -3 + 2(x + -1) = 3x + 7 Reorder the terms: 4x + -3 + 2(-1 + x) = 3x + 7 4x + -3 + (-1 * 2 + x * 2) = 3x + 7 4x + -3 + (-2 + 2x) = 3x + 7 Reorder the terms: -3 + -2 + 4x + 2x = 3x + 7 Combine like terms: -3 + -2 = -5 -5 + 4x + 2x = 3x + 7 Combine like terms: 4x + 2x = 6x -5 + 6x = 3x + 7 Reorder the terms: -5 + 6x = 7 + 3x Solving -5 + 6x = 7 + 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. -5 + 6x + -3x = 7 + 3x + -3x Combine like terms: 6x + -3x = 3x -5 + 3x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 3x = 7 + 0 -5 + 3x = 7 Add '5' to each side of the equation. -5 + 5 + 3x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 7 + 5 3x = 7 + 5 Combine like terms: 7 + 5 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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