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Simplifying 6(5x) + -24(2x + -3) = 36(x) Remove parenthesis around (5x) 6 * 5x + -24(2x + -3) = 36(x) Multiply 6 * 5 30x + -24(2x + -3) = 36(x) Reorder the terms: 30x + -24(-3 + 2x) = 36(x) 30x + (-3 * -24 + 2x * -24) = 36(x) 30x + (72 + -48x) = 36(x) Reorder the terms: 72 + 30x + -48x = 36(x) Combine like terms: 30x + -48x = -18x 72 + -18x = 36(x) Solving 72 + -18x = 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 72 + -18x + -36x = 36x + -36x Combine like terms: -18x + -36x = -54x 72 + -54x = 36x + -36x Combine like terms: 36x + -36x = 0 72 + -54x = 0 Add '-72' to each side of the equation. 72 + -72 + -54x = 0 + -72 Combine like terms: 72 + -72 = 0 0 + -54x = 0 + -72 -54x = 0 + -72 Combine like terms: 0 + -72 = -72 -54x = -72 Divide each side by '-54'. x = 1.333333333 Simplifying x = 1.333333333
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