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Simplifying 4(x + -1) + 2x = 3x + 5 Reorder the terms: 4(-1 + x) + 2x = 3x + 5 (-1 * 4 + x * 4) + 2x = 3x + 5 (-4 + 4x) + 2x = 3x + 5 Combine like terms: 4x + 2x = 6x -4 + 6x = 3x + 5 Reorder the terms: -4 + 6x = 5 + 3x Solving -4 + 6x = 5 + 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. -4 + 6x + -3x = 5 + 3x + -3x Combine like terms: 6x + -3x = 3x -4 + 3x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 3x = 5 + 0 -4 + 3x = 5 Add '4' to each side of the equation. -4 + 4 + 3x = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 5 + 4 3x = 5 + 4 Combine like terms: 5 + 4 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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