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Simplifying 5x + -1(3 + x) = 2(3x + 1) 5x + (3 * -1 + x * -1) = 2(3x + 1) 5x + (-3 + -1x) = 2(3x + 1) Reorder the terms: -3 + 5x + -1x = 2(3x + 1) Combine like terms: 5x + -1x = 4x -3 + 4x = 2(3x + 1) Reorder the terms: -3 + 4x = 2(1 + 3x) -3 + 4x = (1 * 2 + 3x * 2) -3 + 4x = (2 + 6x) Solving -3 + 4x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + 4x + -6x = 2 + 6x + -6x Combine like terms: 4x + -6x = -2x -3 + -2x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -2x = 2 + 0 -3 + -2x = 2 Add '3' to each side of the equation. -3 + 3 + -2x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 2 + 3 -2x = 2 + 3 Combine like terms: 2 + 3 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5
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