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Simplifying 3(x + -5) + 5 = 5x + -2(5 + -1x) Reorder the terms: 3(-5 + x) + 5 = 5x + -2(5 + -1x) (-5 * 3 + x * 3) + 5 = 5x + -2(5 + -1x) (-15 + 3x) + 5 = 5x + -2(5 + -1x) Reorder the terms: -15 + 5 + 3x = 5x + -2(5 + -1x) Combine like terms: -15 + 5 = -10 -10 + 3x = 5x + -2(5 + -1x) -10 + 3x = 5x + (5 * -2 + -1x * -2) -10 + 3x = 5x + (-10 + 2x) Reorder the terms: -10 + 3x = -10 + 5x + 2x Combine like terms: 5x + 2x = 7x -10 + 3x = -10 + 7x Add '10' to each side of the equation. -10 + 10 + 3x = -10 + 10 + 7x Combine like terms: -10 + 10 = 0 0 + 3x = -10 + 10 + 7x 3x = -10 + 10 + 7x Combine like terms: -10 + 10 = 0 3x = 0 + 7x 3x = 7x Solving 3x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 3x + -7x = 7x + -7x Combine like terms: 3x + -7x = -4x -4x = 7x + -7x Combine like terms: 7x + -7x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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