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Simplifying 6(3x + -5) = 24x + -30 Reorder the terms: 6(-5 + 3x) = 24x + -30 (-5 * 6 + 3x * 6) = 24x + -30 (-30 + 18x) = 24x + -30 Reorder the terms: -30 + 18x = -30 + 24x Add '30' to each side of the equation. -30 + 30 + 18x = -30 + 30 + 24x Combine like terms: -30 + 30 = 0 0 + 18x = -30 + 30 + 24x 18x = -30 + 30 + 24x Combine like terms: -30 + 30 = 0 18x = 0 + 24x 18x = 24x Solving 18x = 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. 18x + -24x = 24x + -24x Combine like terms: 18x + -24x = -6x -6x = 24x + -24x Combine like terms: 24x + -24x = 0 -6x = 0 Divide each side by '-6'. x = 0 Simplifying x = 0
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