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Simplifying 3(x + -5) + 5 = 3x + -5(5 + -1x) Reorder the terms: 3(-5 + x) + 5 = 3x + -5(5 + -1x) (-5 * 3 + x * 3) + 5 = 3x + -5(5 + -1x) (-15 + 3x) + 5 = 3x + -5(5 + -1x) Reorder the terms: -15 + 5 + 3x = 3x + -5(5 + -1x) Combine like terms: -15 + 5 = -10 -10 + 3x = 3x + -5(5 + -1x) -10 + 3x = 3x + (5 * -5 + -1x * -5) -10 + 3x = 3x + (-25 + 5x) Reorder the terms: -10 + 3x = -25 + 3x + 5x Combine like terms: 3x + 5x = 8x -10 + 3x = -25 + 8x Solving -10 + 3x = -25 + 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. -10 + 3x + -8x = -25 + 8x + -8x Combine like terms: 3x + -8x = -5x -10 + -5x = -25 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + -5x = -25 + 0 -10 + -5x = -25 Add '10' to each side of the equation. -10 + 10 + -5x = -25 + 10 Combine like terms: -10 + 10 = 0 0 + -5x = -25 + 10 -5x = -25 + 10 Combine like terms: -25 + 10 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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