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Simplifying 5(x + -1) + 4 = 2(x + 3) + -1 Reorder the terms: 5(-1 + x) + 4 = 2(x + 3) + -1 (-1 * 5 + x * 5) + 4 = 2(x + 3) + -1 (-5 + 5x) + 4 = 2(x + 3) + -1 Reorder the terms: -5 + 4 + 5x = 2(x + 3) + -1 Combine like terms: -5 + 4 = -1 -1 + 5x = 2(x + 3) + -1 Reorder the terms: -1 + 5x = 2(3 + x) + -1 -1 + 5x = (3 * 2 + x * 2) + -1 -1 + 5x = (6 + 2x) + -1 Reorder the terms: -1 + 5x = 6 + -1 + 2x Combine like terms: 6 + -1 = 5 -1 + 5x = 5 + 2x Solving -1 + 5x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + 5x + -2x = 5 + 2x + -2x Combine like terms: 5x + -2x = 3x -1 + 3x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 3x = 5 + 0 -1 + 3x = 5 Add '1' to each side of the equation. -1 + 1 + 3x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 5 + 1 3x = 5 + 1 Combine like terms: 5 + 1 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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