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Simplifying 5x + 2 = (5x + -3) + (2x + -4) Reorder the terms: 2 + 5x = (5x + -3) + (2x + -4) Reorder the terms: 2 + 5x = (-3 + 5x) + (2x + -4) Remove parenthesis around (-3 + 5x) 2 + 5x = -3 + 5x + (2x + -4) Reorder the terms: 2 + 5x = -3 + 5x + (-4 + 2x) Remove parenthesis around (-4 + 2x) 2 + 5x = -3 + 5x + -4 + 2x Reorder the terms: 2 + 5x = -3 + -4 + 5x + 2x Combine like terms: -3 + -4 = -7 2 + 5x = -7 + 5x + 2x Combine like terms: 5x + 2x = 7x 2 + 5x = -7 + 7x Solving 2 + 5x = -7 + 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 = -7 + 7x + -7x Combine like terms: 5x + -7x = -2x 2 + -2x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -2x = -7 + 0 2 + -2x = -7 Add '-2' to each side of the equation. 2 + -2 + -2x = -7 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = -7 + -2 -2x = -7 + -2 Combine like terms: -7 + -2 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5
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