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Simplifying 5x + 2 = 17 + -3(x + -7) Reorder the terms: 2 + 5x = 17 + -3(x + -7) Reorder the terms: 2 + 5x = 17 + -3(-7 + x) 2 + 5x = 17 + (-7 * -3 + x * -3) 2 + 5x = 17 + (21 + -3x) Combine like terms: 17 + 21 = 38 2 + 5x = 38 + -3x Solving 2 + 5x = 38 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2 + 5x + 3x = 38 + -3x + 3x Combine like terms: 5x + 3x = 8x 2 + 8x = 38 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 8x = 38 + 0 2 + 8x = 38 Add '-2' to each side of the equation. 2 + -2 + 8x = 38 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 38 + -2 8x = 38 + -2 Combine like terms: 38 + -2 = 36 8x = 36 Divide each side by '8'. x = 4.5 Simplifying x = 4.5
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