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Simplifying 3(x + 5) + -20 = 8(x + -3) Reorder the terms: 3(5 + x) + -20 = 8(x + -3) (5 * 3 + x * 3) + -20 = 8(x + -3) (15 + 3x) + -20 = 8(x + -3) Reorder the terms: 15 + -20 + 3x = 8(x + -3) Combine like terms: 15 + -20 = -5 -5 + 3x = 8(x + -3) Reorder the terms: -5 + 3x = 8(-3 + x) -5 + 3x = (-3 * 8 + x * 8) -5 + 3x = (-24 + 8x) Solving -5 + 3x = -24 + 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. -5 + 3x + -8x = -24 + 8x + -8x Combine like terms: 3x + -8x = -5x -5 + -5x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -5x = -24 + 0 -5 + -5x = -24 Add '5' to each side of the equation. -5 + 5 + -5x = -24 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = -24 + 5 -5x = -24 + 5 Combine like terms: -24 + 5 = -19 -5x = -19 Divide each side by '-5'. x = 3.8 Simplifying x = 3.8
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