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Simplifying 4x + 2 = 7x + -5 Reorder the terms: 2 + 4x = 7x + -5 Reorder the terms: 2 + 4x = -5 + 7x Solving 2 + 4x = -5 + 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 + 4x + -7x = -5 + 7x + -7x Combine like terms: 4x + -7x = -3x 2 + -3x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -3x = -5 + 0 2 + -3x = -5 Add '-2' to each side of the equation. 2 + -2 + -3x = -5 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = -5 + -2 -3x = -5 + -2 Combine like terms: -5 + -2 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333
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