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Simplifying 24x + 36 + 15x + -45 = 100x + 20 Reorder the terms: 36 + -45 + 24x + 15x = 100x + 20 Combine like terms: 36 + -45 = -9 -9 + 24x + 15x = 100x + 20 Combine like terms: 24x + 15x = 39x -9 + 39x = 100x + 20 Reorder the terms: -9 + 39x = 20 + 100x Solving -9 + 39x = 20 + 100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. -9 + 39x + -100x = 20 + 100x + -100x Combine like terms: 39x + -100x = -61x -9 + -61x = 20 + 100x + -100x Combine like terms: 100x + -100x = 0 -9 + -61x = 20 + 0 -9 + -61x = 20 Add '9' to each side of the equation. -9 + 9 + -61x = 20 + 9 Combine like terms: -9 + 9 = 0 0 + -61x = 20 + 9 -61x = 20 + 9 Combine like terms: 20 + 9 = 29 -61x = 29 Divide each side by '-61'. x = -0.4754098361 Simplifying x = -0.4754098361
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