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Simplifying -6(4x + -1) + -18(4x + 7) = -312 Reorder the terms: -6(-1 + 4x) + -18(4x + 7) = -312 (-1 * -6 + 4x * -6) + -18(4x + 7) = -312 (6 + -24x) + -18(4x + 7) = -312 Reorder the terms: 6 + -24x + -18(7 + 4x) = -312 6 + -24x + (7 * -18 + 4x * -18) = -312 6 + -24x + (-126 + -72x) = -312 Reorder the terms: 6 + -126 + -24x + -72x = -312 Combine like terms: 6 + -126 = -120 -120 + -24x + -72x = -312 Combine like terms: -24x + -72x = -96x -120 + -96x = -312 Solving -120 + -96x = -312 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '120' to each side of the equation. -120 + 120 + -96x = -312 + 120 Combine like terms: -120 + 120 = 0 0 + -96x = -312 + 120 -96x = -312 + 120 Combine like terms: -312 + 120 = -192 -96x = -192 Divide each side by '-96'. x = 2 Simplifying x = 2
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