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Simplifying 3x + 7 + -2x = 4x + 13 Reorder the terms: 7 + 3x + -2x = 4x + 13 Combine like terms: 3x + -2x = 1x 7 + 1x = 4x + 13 Reorder the terms: 7 + 1x = 13 + 4x Solving 7 + 1x = 13 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 7 + 1x + -4x = 13 + 4x + -4x Combine like terms: 1x + -4x = -3x 7 + -3x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -3x = 13 + 0 7 + -3x = 13 Add '-7' to each side of the equation. 7 + -7 + -3x = 13 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 13 + -7 -3x = 13 + -7 Combine like terms: 13 + -7 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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