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Simplifying 4x + -5 = 3 + -2(3x + -6) + 10 Reorder the terms: -5 + 4x = 3 + -2(3x + -6) + 10 Reorder the terms: -5 + 4x = 3 + -2(-6 + 3x) + 10 -5 + 4x = 3 + (-6 * -2 + 3x * -2) + 10 -5 + 4x = 3 + (12 + -6x) + 10 Reorder the terms: -5 + 4x = 3 + 12 + 10 + -6x Combine like terms: 3 + 12 = 15 -5 + 4x = 15 + 10 + -6x Combine like terms: 15 + 10 = 25 -5 + 4x = 25 + -6x Solving -5 + 4x = 25 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -5 + 4x + 6x = 25 + -6x + 6x Combine like terms: 4x + 6x = 10x -5 + 10x = 25 + -6x + 6x Combine like terms: -6x + 6x = 0 -5 + 10x = 25 + 0 -5 + 10x = 25 Add '5' to each side of the equation. -5 + 5 + 10x = 25 + 5 Combine like terms: -5 + 5 = 0 0 + 10x = 25 + 5 10x = 25 + 5 Combine like terms: 25 + 5 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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