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Simplifying 6(4x + -2) + 4(5 + -2x) + -3(5x + 4) = -10 Reorder the terms: 6(-2 + 4x) + 4(5 + -2x) + -3(5x + 4) = -10 (-2 * 6 + 4x * 6) + 4(5 + -2x) + -3(5x + 4) = -10 (-12 + 24x) + 4(5 + -2x) + -3(5x + 4) = -10 -12 + 24x + (5 * 4 + -2x * 4) + -3(5x + 4) = -10 -12 + 24x + (20 + -8x) + -3(5x + 4) = -10 Reorder the terms: -12 + 24x + 20 + -8x + -3(4 + 5x) = -10 -12 + 24x + 20 + -8x + (4 * -3 + 5x * -3) = -10 -12 + 24x + 20 + -8x + (-12 + -15x) = -10 Reorder the terms: -12 + 20 + -12 + 24x + -8x + -15x = -10 Combine like terms: -12 + 20 = 8 8 + -12 + 24x + -8x + -15x = -10 Combine like terms: 8 + -12 = -4 -4 + 24x + -8x + -15x = -10 Combine like terms: 24x + -8x = 16x -4 + 16x + -15x = -10 Combine like terms: 16x + -15x = 1x -4 + 1x = -10 Solving -4 + 1x = -10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 1x = -10 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -10 + 4 1x = -10 + 4 Combine like terms: -10 + 4 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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