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Simplifying -4(30x + 18) = 21(-27 + 4x) Reorder the terms: -4(18 + 30x) = 21(-27 + 4x) (18 * -4 + 30x * -4) = 21(-27 + 4x) (-72 + -120x) = 21(-27 + 4x) -72 + -120x = (-27 * 21 + 4x * 21) -72 + -120x = (-567 + 84x) Solving -72 + -120x = -567 + 84x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84x' to each side of the equation. -72 + -120x + -84x = -567 + 84x + -84x Combine like terms: -120x + -84x = -204x -72 + -204x = -567 + 84x + -84x Combine like terms: 84x + -84x = 0 -72 + -204x = -567 + 0 -72 + -204x = -567 Add '72' to each side of the equation. -72 + 72 + -204x = -567 + 72 Combine like terms: -72 + 72 = 0 0 + -204x = -567 + 72 -204x = -567 + 72 Combine like terms: -567 + 72 = -495 -204x = -495 Divide each side by '-204'. x = 2.426470588 Simplifying x = 2.426470588
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