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