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Simplifying -6(4x + -2) + 5(5x + -4) + -8 = 2 + -3 Reorder the terms: -6(-2 + 4x) + 5(5x + -4) + -8 = 2 + -3 (-2 * -6 + 4x * -6) + 5(5x + -4) + -8 = 2 + -3 (12 + -24x) + 5(5x + -4) + -8 = 2 + -3 Reorder the terms: 12 + -24x + 5(-4 + 5x) + -8 = 2 + -3 12 + -24x + (-4 * 5 + 5x * 5) + -8 = 2 + -3 12 + -24x + (-20 + 25x) + -8 = 2 + -3 Reorder the terms: 12 + -20 + -8 + -24x + 25x = 2 + -3 Combine like terms: 12 + -20 = -8 -8 + -8 + -24x + 25x = 2 + -3 Combine like terms: -8 + -8 = -16 -16 + -24x + 25x = 2 + -3 Combine like terms: -24x + 25x = 1x -16 + 1x = 2 + -3 Combine like terms: 2 + -3 = -1 -16 + 1x = -1 Solving -16 + 1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 1x = -1 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = -1 + 16 1x = -1 + 16 Combine like terms: -1 + 16 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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