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Simplifying 3(2x + -5) + -2(x + -3) = 7 Reorder the terms: 3(-5 + 2x) + -2(x + -3) = 7 (-5 * 3 + 2x * 3) + -2(x + -3) = 7 (-15 + 6x) + -2(x + -3) = 7 Reorder the terms: -15 + 6x + -2(-3 + x) = 7 -15 + 6x + (-3 * -2 + x * -2) = 7 -15 + 6x + (6 + -2x) = 7 Reorder the terms: -15 + 6 + 6x + -2x = 7 Combine like terms: -15 + 6 = -9 -9 + 6x + -2x = 7 Combine like terms: 6x + -2x = 4x -9 + 4x = 7 Solving -9 + 4x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 4x = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = 7 + 9 4x = 7 + 9 Combine like terms: 7 + 9 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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