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Simplifying 5x + 2(6x + -3) = 7x + -2 Reorder the terms: 5x + 2(-3 + 6x) = 7x + -2 5x + (-3 * 2 + 6x * 2) = 7x + -2 5x + (-6 + 12x) = 7x + -2 Reorder the terms: -6 + 5x + 12x = 7x + -2 Combine like terms: 5x + 12x = 17x -6 + 17x = 7x + -2 Reorder the terms: -6 + 17x = -2 + 7x Solving -6 + 17x = -2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + 17x + -7x = -2 + 7x + -7x Combine like terms: 17x + -7x = 10x -6 + 10x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + 10x = -2 + 0 -6 + 10x = -2 Add '6' to each side of the equation. -6 + 6 + 10x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 10x = -2 + 6 10x = -2 + 6 Combine like terms: -2 + 6 = 4 10x = 4 Divide each side by '10'. x = 0.4 Simplifying x = 0.4
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