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Simplifying 3(x + -7) + 1 = 2x + 30 Reorder the terms: 3(-7 + x) + 1 = 2x + 30 (-7 * 3 + x * 3) + 1 = 2x + 30 (-21 + 3x) + 1 = 2x + 30 Reorder the terms: -21 + 1 + 3x = 2x + 30 Combine like terms: -21 + 1 = -20 -20 + 3x = 2x + 30 Reorder the terms: -20 + 3x = 30 + 2x Solving -20 + 3x = 30 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -20 + 3x + -2x = 30 + 2x + -2x Combine like terms: 3x + -2x = 1x -20 + 1x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 1x = 30 + 0 -20 + 1x = 30 Add '20' to each side of the equation. -20 + 20 + 1x = 30 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = 30 + 20 1x = 30 + 20 Combine like terms: 30 + 20 = 50 1x = 50 Divide each side by '1'. x = 50 Simplifying x = 50
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