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Simplifying 5x + -10 = -3(4x + -8) Reorder the terms: -10 + 5x = -3(4x + -8) Reorder the terms: -10 + 5x = -3(-8 + 4x) -10 + 5x = (-8 * -3 + 4x * -3) -10 + 5x = (24 + -12x) Solving -10 + 5x = 24 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -10 + 5x + 12x = 24 + -12x + 12x Combine like terms: 5x + 12x = 17x -10 + 17x = 24 + -12x + 12x Combine like terms: -12x + 12x = 0 -10 + 17x = 24 + 0 -10 + 17x = 24 Add '10' to each side of the equation. -10 + 10 + 17x = 24 + 10 Combine like terms: -10 + 10 = 0 0 + 17x = 24 + 10 17x = 24 + 10 Combine like terms: 24 + 10 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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