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Simplifying 4(6x + -2) + 3(16 + -5x) + -4(2x + 4) = -9 Reorder the terms: 4(-2 + 6x) + 3(16 + -5x) + -4(2x + 4) = -9 (-2 * 4 + 6x * 4) + 3(16 + -5x) + -4(2x + 4) = -9 (-8 + 24x) + 3(16 + -5x) + -4(2x + 4) = -9 -8 + 24x + (16 * 3 + -5x * 3) + -4(2x + 4) = -9 -8 + 24x + (48 + -15x) + -4(2x + 4) = -9 Reorder the terms: -8 + 24x + 48 + -15x + -4(4 + 2x) = -9 -8 + 24x + 48 + -15x + (4 * -4 + 2x * -4) = -9 -8 + 24x + 48 + -15x + (-16 + -8x) = -9 Reorder the terms: -8 + 48 + -16 + 24x + -15x + -8x = -9 Combine like terms: -8 + 48 = 40 40 + -16 + 24x + -15x + -8x = -9 Combine like terms: 40 + -16 = 24 24 + 24x + -15x + -8x = -9 Combine like terms: 24x + -15x = 9x 24 + 9x + -8x = -9 Combine like terms: 9x + -8x = 1x 24 + 1x = -9 Solving 24 + 1x = -9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 1x = -9 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = -9 + -24 1x = -9 + -24 Combine like terms: -9 + -24 = -33 1x = -33 Divide each side by '1'. x = -33 Simplifying x = -33
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