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Simplifying -30x + -18 = -6(4x + 9) Reorder the terms: -18 + -30x = -6(4x + 9) Reorder the terms: -18 + -30x = -6(9 + 4x) -18 + -30x = (9 * -6 + 4x * -6) -18 + -30x = (-54 + -24x) Solving -18 + -30x = -54 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -18 + -30x + 24x = -54 + -24x + 24x Combine like terms: -30x + 24x = -6x -18 + -6x = -54 + -24x + 24x Combine like terms: -24x + 24x = 0 -18 + -6x = -54 + 0 -18 + -6x = -54 Add '18' to each side of the equation. -18 + 18 + -6x = -54 + 18 Combine like terms: -18 + 18 = 0 0 + -6x = -54 + 18 -6x = -54 + 18 Combine like terms: -54 + 18 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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