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Simplifying 38 + 7(x + -3) = 8(x + -1) Reorder the terms: 38 + 7(-3 + x) = 8(x + -1) 38 + (-3 * 7 + x * 7) = 8(x + -1) 38 + (-21 + 7x) = 8(x + -1) Combine like terms: 38 + -21 = 17 17 + 7x = 8(x + -1) Reorder the terms: 17 + 7x = 8(-1 + x) 17 + 7x = (-1 * 8 + x * 8) 17 + 7x = (-8 + 8x) Solving 17 + 7x = -8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 17 + 7x + -8x = -8 + 8x + -8x Combine like terms: 7x + -8x = -1x 17 + -1x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 17 + -1x = -8 + 0 17 + -1x = -8 Add '-17' to each side of the equation. 17 + -17 + -1x = -8 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = -8 + -17 -1x = -8 + -17 Combine like terms: -8 + -17 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25
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