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Simplifying 5(x + -1) + 3 = 3x + -2(3 + -2x) Reorder the terms: 5(-1 + x) + 3 = 3x + -2(3 + -2x) (-1 * 5 + x * 5) + 3 = 3x + -2(3 + -2x) (-5 + 5x) + 3 = 3x + -2(3 + -2x) Reorder the terms: -5 + 3 + 5x = 3x + -2(3 + -2x) Combine like terms: -5 + 3 = -2 -2 + 5x = 3x + -2(3 + -2x) -2 + 5x = 3x + (3 * -2 + -2x * -2) -2 + 5x = 3x + (-6 + 4x) Reorder the terms: -2 + 5x = -6 + 3x + 4x Combine like terms: 3x + 4x = 7x -2 + 5x = -6 + 7x Solving -2 + 5x = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + 5x + -7x = -6 + 7x + -7x Combine like terms: 5x + -7x = -2x -2 + -2x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -2x = -6 + 0 -2 + -2x = -6 Add '2' to each side of the equation. -2 + 2 + -2x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -6 + 2 -2x = -6 + 2 Combine like terms: -6 + 2 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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