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Simplifying 5(6x + -2) + 3(8 + -3x) + -5(4x + 4) = -3 Reorder the terms: 5(-2 + 6x) + 3(8 + -3x) + -5(4x + 4) = -3 (-2 * 5 + 6x * 5) + 3(8 + -3x) + -5(4x + 4) = -3 (-10 + 30x) + 3(8 + -3x) + -5(4x + 4) = -3 -10 + 30x + (8 * 3 + -3x * 3) + -5(4x + 4) = -3 -10 + 30x + (24 + -9x) + -5(4x + 4) = -3 Reorder the terms: -10 + 30x + 24 + -9x + -5(4 + 4x) = -3 -10 + 30x + 24 + -9x + (4 * -5 + 4x * -5) = -3 -10 + 30x + 24 + -9x + (-20 + -20x) = -3 Reorder the terms: -10 + 24 + -20 + 30x + -9x + -20x = -3 Combine like terms: -10 + 24 = 14 14 + -20 + 30x + -9x + -20x = -3 Combine like terms: 14 + -20 = -6 -6 + 30x + -9x + -20x = -3 Combine like terms: 30x + -9x = 21x -6 + 21x + -20x = -3 Combine like terms: 21x + -20x = 1x -6 + 1x = -3 Solving -6 + 1x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 1x = -3 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = -3 + 6 1x = -3 + 6 Combine like terms: -3 + 6 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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