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Simplifying 3(x + 7) + -2x = 5x + -7 Reorder the terms: 3(7 + x) + -2x = 5x + -7 (7 * 3 + x * 3) + -2x = 5x + -7 (21 + 3x) + -2x = 5x + -7 Combine like terms: 3x + -2x = 1x 21 + 1x = 5x + -7 Reorder the terms: 21 + 1x = -7 + 5x Solving 21 + 1x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 21 + 1x + -5x = -7 + 5x + -5x Combine like terms: 1x + -5x = -4x 21 + -4x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 21 + -4x = -7 + 0 21 + -4x = -7 Add '-21' to each side of the equation. 21 + -21 + -4x = -7 + -21 Combine like terms: 21 + -21 = 0 0 + -4x = -7 + -21 -4x = -7 + -21 Combine like terms: -7 + -21 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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