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Simplifying 3(x + -5) = 8(x + 1) + -3 Reorder the terms: 3(-5 + x) = 8(x + 1) + -3 (-5 * 3 + x * 3) = 8(x + 1) + -3 (-15 + 3x) = 8(x + 1) + -3 Reorder the terms: -15 + 3x = 8(1 + x) + -3 -15 + 3x = (1 * 8 + x * 8) + -3 -15 + 3x = (8 + 8x) + -3 Reorder the terms: -15 + 3x = 8 + -3 + 8x Combine like terms: 8 + -3 = 5 -15 + 3x = 5 + 8x Solving -15 + 3x = 5 + 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. -15 + 3x + -8x = 5 + 8x + -8x Combine like terms: 3x + -8x = -5x -15 + -5x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + -5x = 5 + 0 -15 + -5x = 5 Add '15' to each side of the equation. -15 + 15 + -5x = 5 + 15 Combine like terms: -15 + 15 = 0 0 + -5x = 5 + 15 -5x = 5 + 15 Combine like terms: 5 + 15 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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