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Simplifying 3(2x + -5) = 2x + -7 Reorder the terms: 3(-5 + 2x) = 2x + -7 (-5 * 3 + 2x * 3) = 2x + -7 (-15 + 6x) = 2x + -7 Reorder the terms: -15 + 6x = -7 + 2x Solving -15 + 6x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + 6x + -2x = -7 + 2x + -2x Combine like terms: 6x + -2x = 4x -15 + 4x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 4x = -7 + 0 -15 + 4x = -7 Add '15' to each side of the equation. -15 + 15 + 4x = -7 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = -7 + 15 4x = -7 + 15 Combine like terms: -7 + 15 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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