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Simplifying 4x + -2 + 6 = 7x + -3 Reorder the terms: -2 + 6 + 4x = 7x + -3 Combine like terms: -2 + 6 = 4 4 + 4x = 7x + -3 Reorder the terms: 4 + 4x = -3 + 7x Solving 4 + 4x = -3 + 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. 4 + 4x + -7x = -3 + 7x + -7x Combine like terms: 4x + -7x = -3x 4 + -3x = -3 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -3x = -3 + 0 4 + -3x = -3 Add '-4' to each side of the equation. 4 + -4 + -3x = -3 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = -3 + -4 -3x = -3 + -4 Combine like terms: -3 + -4 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333
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