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Simplifying -9(-30x + -42) = -36(-5x + -23) Reorder the terms: -9(-42 + -30x) = -36(-5x + -23) (-42 * -9 + -30x * -9) = -36(-5x + -23) (378 + 270x) = -36(-5x + -23) Reorder the terms: 378 + 270x = -36(-23 + -5x) 378 + 270x = (-23 * -36 + -5x * -36) 378 + 270x = (828 + 180x) Solving 378 + 270x = 828 + 180x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-180x' to each side of the equation. 378 + 270x + -180x = 828 + 180x + -180x Combine like terms: 270x + -180x = 90x 378 + 90x = 828 + 180x + -180x Combine like terms: 180x + -180x = 0 378 + 90x = 828 + 0 378 + 90x = 828 Add '-378' to each side of the equation. 378 + -378 + 90x = 828 + -378 Combine like terms: 378 + -378 = 0 0 + 90x = 828 + -378 90x = 828 + -378 Combine like terms: 828 + -378 = 450 90x = 450 Divide each side by '90'. x = 5 Simplifying x = 5
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