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Simplifying 3x + -5x + 7 + 5x = 2x + 4x + -6 Reorder the terms: 7 + 3x + -5x + 5x = 2x + 4x + -6 Combine like terms: 3x + -5x = -2x 7 + -2x + 5x = 2x + 4x + -6 Combine like terms: -2x + 5x = 3x 7 + 3x = 2x + 4x + -6 Reorder the terms: 7 + 3x = -6 + 2x + 4x Combine like terms: 2x + 4x = 6x 7 + 3x = -6 + 6x Solving 7 + 3x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + 3x + -6x = -6 + 6x + -6x Combine like terms: 3x + -6x = -3x 7 + -3x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -3x = -6 + 0 7 + -3x = -6 Add '-7' to each side of the equation. 7 + -7 + -3x = -6 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = -6 + -7 -3x = -6 + -7 Combine like terms: -6 + -7 = -13 -3x = -13 Divide each side by '-3'. x = 4.333333333 Simplifying x = 4.333333333
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