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Simplifying 3(x + -5) + -8x = 10x + 75 Reorder the terms: 3(-5 + x) + -8x = 10x + 75 (-5 * 3 + x * 3) + -8x = 10x + 75 (-15 + 3x) + -8x = 10x + 75 Combine like terms: 3x + -8x = -5x -15 + -5x = 10x + 75 Reorder the terms: -15 + -5x = 75 + 10x Solving -15 + -5x = 75 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -15 + -5x + -10x = 75 + 10x + -10x Combine like terms: -5x + -10x = -15x -15 + -15x = 75 + 10x + -10x Combine like terms: 10x + -10x = 0 -15 + -15x = 75 + 0 -15 + -15x = 75 Add '15' to each side of the equation. -15 + 15 + -15x = 75 + 15 Combine like terms: -15 + 15 = 0 0 + -15x = 75 + 15 -15x = 75 + 15 Combine like terms: 75 + 15 = 90 -15x = 90 Divide each side by '-15'. x = -6 Simplifying x = -6
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