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Simplifying 3(3x + -10) = 4(x + 10) Reorder the terms: 3(-10 + 3x) = 4(x + 10) (-10 * 3 + 3x * 3) = 4(x + 10) (-30 + 9x) = 4(x + 10) Reorder the terms: -30 + 9x = 4(10 + x) -30 + 9x = (10 * 4 + x * 4) -30 + 9x = (40 + 4x) Solving -30 + 9x = 40 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -30 + 9x + -4x = 40 + 4x + -4x Combine like terms: 9x + -4x = 5x -30 + 5x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 -30 + 5x = 40 + 0 -30 + 5x = 40 Add '30' to each side of the equation. -30 + 30 + 5x = 40 + 30 Combine like terms: -30 + 30 = 0 0 + 5x = 40 + 30 5x = 40 + 30 Combine like terms: 40 + 30 = 70 5x = 70 Divide each side by '5'. x = 14 Simplifying x = 14
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