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Simplifying 4(12x + -4) + -5(8x + 7) = 0 Reorder the terms: 4(-4 + 12x) + -5(8x + 7) = 0 (-4 * 4 + 12x * 4) + -5(8x + 7) = 0 (-16 + 48x) + -5(8x + 7) = 0 Reorder the terms: -16 + 48x + -5(7 + 8x) = 0 -16 + 48x + (7 * -5 + 8x * -5) = 0 -16 + 48x + (-35 + -40x) = 0 Reorder the terms: -16 + -35 + 48x + -40x = 0 Combine like terms: -16 + -35 = -51 -51 + 48x + -40x = 0 Combine like terms: 48x + -40x = 8x -51 + 8x = 0 Solving -51 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 8x = 0 + 51 Combine like terms: -51 + 51 = 0 0 + 8x = 0 + 51 8x = 0 + 51 Combine like terms: 0 + 51 = 51 8x = 51 Divide each side by '8'. x = 6.375 Simplifying x = 6.375
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