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Simplifying 6(4x + -2) + 2(8 + -4x) + -5(3x + 5) = -21 Reorder the terms: 6(-2 + 4x) + 2(8 + -4x) + -5(3x + 5) = -21 (-2 * 6 + 4x * 6) + 2(8 + -4x) + -5(3x + 5) = -21 (-12 + 24x) + 2(8 + -4x) + -5(3x + 5) = -21 -12 + 24x + (8 * 2 + -4x * 2) + -5(3x + 5) = -21 -12 + 24x + (16 + -8x) + -5(3x + 5) = -21 Reorder the terms: -12 + 24x + 16 + -8x + -5(5 + 3x) = -21 -12 + 24x + 16 + -8x + (5 * -5 + 3x * -5) = -21 -12 + 24x + 16 + -8x + (-25 + -15x) = -21 Reorder the terms: -12 + 16 + -25 + 24x + -8x + -15x = -21 Combine like terms: -12 + 16 = 4 4 + -25 + 24x + -8x + -15x = -21 Combine like terms: 4 + -25 = -21 -21 + 24x + -8x + -15x = -21 Combine like terms: 24x + -8x = 16x -21 + 16x + -15x = -21 Combine like terms: 16x + -15x = 1x -21 + 1x = -21 Add '21' to each side of the equation. -21 + 21 + 1x = -21 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = -21 + 21 1x = -21 + 21 Combine like terms: -21 + 21 = 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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