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Simplifying 3x + 2(2x + -3) = -6x + 7 Reorder the terms: 3x + 2(-3 + 2x) = -6x + 7 3x + (-3 * 2 + 2x * 2) = -6x + 7 3x + (-6 + 4x) = -6x + 7 Reorder the terms: -6 + 3x + 4x = -6x + 7 Combine like terms: 3x + 4x = 7x -6 + 7x = -6x + 7 Reorder the terms: -6 + 7x = 7 + -6x Solving -6 + 7x = 7 + -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. -6 + 7x + 6x = 7 + -6x + 6x Combine like terms: 7x + 6x = 13x -6 + 13x = 7 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 13x = 7 + 0 -6 + 13x = 7 Add '6' to each side of the equation. -6 + 6 + 13x = 7 + 6 Combine like terms: -6 + 6 = 0 0 + 13x = 7 + 6 13x = 7 + 6 Combine like terms: 7 + 6 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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