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Simplifying 3(x + -5) + 8 = 2(9 + -1x) Reorder the terms: 3(-5 + x) + 8 = 2(9 + -1x) (-5 * 3 + x * 3) + 8 = 2(9 + -1x) (-15 + 3x) + 8 = 2(9 + -1x) Reorder the terms: -15 + 8 + 3x = 2(9 + -1x) Combine like terms: -15 + 8 = -7 -7 + 3x = 2(9 + -1x) -7 + 3x = (9 * 2 + -1x * 2) -7 + 3x = (18 + -2x) Solving -7 + 3x = 18 + -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. -7 + 3x + 2x = 18 + -2x + 2x Combine like terms: 3x + 2x = 5x -7 + 5x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + 5x = 18 + 0 -7 + 5x = 18 Add '7' to each side of the equation. -7 + 7 + 5x = 18 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 18 + 7 5x = 18 + 7 Combine like terms: 18 + 7 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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