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Simplifying 6(4x + -1) + 5(3 + -3x) + -2(4x + 4) = -4 Reorder the terms: 6(-1 + 4x) + 5(3 + -3x) + -2(4x + 4) = -4 (-1 * 6 + 4x * 6) + 5(3 + -3x) + -2(4x + 4) = -4 (-6 + 24x) + 5(3 + -3x) + -2(4x + 4) = -4 -6 + 24x + (3 * 5 + -3x * 5) + -2(4x + 4) = -4 -6 + 24x + (15 + -15x) + -2(4x + 4) = -4 Reorder the terms: -6 + 24x + 15 + -15x + -2(4 + 4x) = -4 -6 + 24x + 15 + -15x + (4 * -2 + 4x * -2) = -4 -6 + 24x + 15 + -15x + (-8 + -8x) = -4 Reorder the terms: -6 + 15 + -8 + 24x + -15x + -8x = -4 Combine like terms: -6 + 15 = 9 9 + -8 + 24x + -15x + -8x = -4 Combine like terms: 9 + -8 = 1 1 + 24x + -15x + -8x = -4 Combine like terms: 24x + -15x = 9x 1 + 9x + -8x = -4 Combine like terms: 9x + -8x = 1x 1 + 1x = -4 Solving 1 + 1x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1x = -4 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = -4 + -1 1x = -4 + -1 Combine like terms: -4 + -1 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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