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Simplifying 5 + -3(x + -7) = 2x + 1 Reorder the terms: 5 + -3(-7 + x) = 2x + 1 5 + (-7 * -3 + x * -3) = 2x + 1 5 + (21 + -3x) = 2x + 1 Combine like terms: 5 + 21 = 26 26 + -3x = 2x + 1 Reorder the terms: 26 + -3x = 1 + 2x Solving 26 + -3x = 1 + 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. 26 + -3x + -2x = 1 + 2x + -2x Combine like terms: -3x + -2x = -5x 26 + -5x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 26 + -5x = 1 + 0 26 + -5x = 1 Add '-26' to each side of the equation. 26 + -26 + -5x = 1 + -26 Combine like terms: 26 + -26 = 0 0 + -5x = 1 + -26 -5x = 1 + -26 Combine like terms: 1 + -26 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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