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Simplifying 5(5x + -3) + -6(4x + -2) = 12 + -15 Reorder the terms: 5(-3 + 5x) + -6(4x + -2) = 12 + -15 (-3 * 5 + 5x * 5) + -6(4x + -2) = 12 + -15 (-15 + 25x) + -6(4x + -2) = 12 + -15 Reorder the terms: -15 + 25x + -6(-2 + 4x) = 12 + -15 -15 + 25x + (-2 * -6 + 4x * -6) = 12 + -15 -15 + 25x + (12 + -24x) = 12 + -15 Reorder the terms: -15 + 12 + 25x + -24x = 12 + -15 Combine like terms: -15 + 12 = -3 -3 + 25x + -24x = 12 + -15 Combine like terms: 25x + -24x = 1x -3 + 1x = 12 + -15 Combine like terms: 12 + -15 = -3 -3 + 1x = -3 Add '3' to each side of the equation. -3 + 3 + 1x = -3 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = -3 + 3 1x = -3 + 3 Combine like terms: -3 + 3 = 0 1x = 0 Solving 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '1'. x = 0 Simplifying x = 0
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