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Simplifying 5(6x + -4) + 5(5 + -4x) + -3(3x + 4) = -10 Reorder the terms: 5(-4 + 6x) + 5(5 + -4x) + -3(3x + 4) = -10 (-4 * 5 + 6x * 5) + 5(5 + -4x) + -3(3x + 4) = -10 (-20 + 30x) + 5(5 + -4x) + -3(3x + 4) = -10 -20 + 30x + (5 * 5 + -4x * 5) + -3(3x + 4) = -10 -20 + 30x + (25 + -20x) + -3(3x + 4) = -10 Reorder the terms: -20 + 30x + 25 + -20x + -3(4 + 3x) = -10 -20 + 30x + 25 + -20x + (4 * -3 + 3x * -3) = -10 -20 + 30x + 25 + -20x + (-12 + -9x) = -10 Reorder the terms: -20 + 25 + -12 + 30x + -20x + -9x = -10 Combine like terms: -20 + 25 = 5 5 + -12 + 30x + -20x + -9x = -10 Combine like terms: 5 + -12 = -7 -7 + 30x + -20x + -9x = -10 Combine like terms: 30x + -20x = 10x -7 + 10x + -9x = -10 Combine like terms: 10x + -9x = 1x -7 + 1x = -10 Solving -7 + 1x = -10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 1x = -10 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = -10 + 7 1x = -10 + 7 Combine like terms: -10 + 7 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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