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Simplifying 10(x + -3) = -5(3x + -8) Reorder the terms: 10(-3 + x) = -5(3x + -8) (-3 * 10 + x * 10) = -5(3x + -8) (-30 + 10x) = -5(3x + -8) Reorder the terms: -30 + 10x = -5(-8 + 3x) -30 + 10x = (-8 * -5 + 3x * -5) -30 + 10x = (40 + -15x) Solving -30 + 10x = 40 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -30 + 10x + 15x = 40 + -15x + 15x Combine like terms: 10x + 15x = 25x -30 + 25x = 40 + -15x + 15x Combine like terms: -15x + 15x = 0 -30 + 25x = 40 + 0 -30 + 25x = 40 Add '30' to each side of the equation. -30 + 30 + 25x = 40 + 30 Combine like terms: -30 + 30 = 0 0 + 25x = 40 + 30 25x = 40 + 30 Combine like terms: 40 + 30 = 70 25x = 70 Divide each side by '25'. x = 2.8 Simplifying x = 2.8
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