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Simplifying (7x + 2) + -1(4x + -3) = 5x + 2 Reorder the terms: (2 + 7x) + -1(4x + -3) = 5x + 2 Remove parenthesis around (2 + 7x) 2 + 7x + -1(4x + -3) = 5x + 2 Reorder the terms: 2 + 7x + -1(-3 + 4x) = 5x + 2 2 + 7x + (-3 * -1 + 4x * -1) = 5x + 2 2 + 7x + (3 + -4x) = 5x + 2 Reorder the terms: 2 + 3 + 7x + -4x = 5x + 2 Combine like terms: 2 + 3 = 5 5 + 7x + -4x = 5x + 2 Combine like terms: 7x + -4x = 3x 5 + 3x = 5x + 2 Reorder the terms: 5 + 3x = 2 + 5x Solving 5 + 3x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + 3x + -5x = 2 + 5x + -5x Combine like terms: 3x + -5x = -2x 5 + -2x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -2x = 2 + 0 5 + -2x = 2 Add '-5' to each side of the equation. 5 + -5 + -2x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 2 + -5 -2x = 2 + -5 Combine like terms: 2 + -5 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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