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Simplifying 3(x + -5) + 8x = 49 + 3x Reorder the terms: 3(-5 + x) + 8x = 49 + 3x (-5 * 3 + x * 3) + 8x = 49 + 3x (-15 + 3x) + 8x = 49 + 3x Combine like terms: 3x + 8x = 11x -15 + 11x = 49 + 3x Solving -15 + 11x = 49 + 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. -15 + 11x + -3x = 49 + 3x + -3x Combine like terms: 11x + -3x = 8x -15 + 8x = 49 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 8x = 49 + 0 -15 + 8x = 49 Add '15' to each side of the equation. -15 + 15 + 8x = 49 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = 49 + 15 8x = 49 + 15 Combine like terms: 49 + 15 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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