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Simplifying 3(x + -5) + 10 = -4x + 12 Reorder the terms: 3(-5 + x) + 10 = -4x + 12 (-5 * 3 + x * 3) + 10 = -4x + 12 (-15 + 3x) + 10 = -4x + 12 Reorder the terms: -15 + 10 + 3x = -4x + 12 Combine like terms: -15 + 10 = -5 -5 + 3x = -4x + 12 Reorder the terms: -5 + 3x = 12 + -4x Solving -5 + 3x = 12 + -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. -5 + 3x + 4x = 12 + -4x + 4x Combine like terms: 3x + 4x = 7x -5 + 7x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -5 + 7x = 12 + 0 -5 + 7x = 12 Add '5' to each side of the equation. -5 + 5 + 7x = 12 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = 12 + 5 7x = 12 + 5 Combine like terms: 12 + 5 = 17 7x = 17 Divide each side by '7'. x = 2.428571429 Simplifying x = 2.428571429
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