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Simplifying x + 30 = 2(x + 7) + 3x Reorder the terms: 30 + x = 2(x + 7) + 3x Reorder the terms: 30 + x = 2(7 + x) + 3x 30 + x = (7 * 2 + x * 2) + 3x 30 + x = (14 + 2x) + 3x Combine like terms: 2x + 3x = 5x 30 + x = 14 + 5x Solving 30 + x = 14 + 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. 30 + x + -5x = 14 + 5x + -5x Combine like terms: x + -5x = -4x 30 + -4x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + -4x = 14 + 0 30 + -4x = 14 Add '-30' to each side of the equation. 30 + -30 + -4x = 14 + -30 Combine like terms: 30 + -30 = 0 0 + -4x = 14 + -30 -4x = 14 + -30 Combine like terms: 14 + -30 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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