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Simplifying 2(7x + -3) + -9 = 6x + -1(2x + -5) + 10 Reorder the terms: 2(-3 + 7x) + -9 = 6x + -1(2x + -5) + 10 (-3 * 2 + 7x * 2) + -9 = 6x + -1(2x + -5) + 10 (-6 + 14x) + -9 = 6x + -1(2x + -5) + 10 Reorder the terms: -6 + -9 + 14x = 6x + -1(2x + -5) + 10 Combine like terms: -6 + -9 = -15 -15 + 14x = 6x + -1(2x + -5) + 10 Reorder the terms: -15 + 14x = 6x + -1(-5 + 2x) + 10 -15 + 14x = 6x + (-5 * -1 + 2x * -1) + 10 -15 + 14x = 6x + (5 + -2x) + 10 Reorder the terms: -15 + 14x = 5 + 10 + 6x + -2x Combine like terms: 5 + 10 = 15 -15 + 14x = 15 + 6x + -2x Combine like terms: 6x + -2x = 4x -15 + 14x = 15 + 4x Solving -15 + 14x = 15 + 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. -15 + 14x + -4x = 15 + 4x + -4x Combine like terms: 14x + -4x = 10x -15 + 10x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + 10x = 15 + 0 -15 + 10x = 15 Add '15' to each side of the equation. -15 + 15 + 10x = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 10x = 15 + 15 10x = 15 + 15 Combine like terms: 15 + 15 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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