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Simplifying 25.2(5x + -6) = 4[x + -3(x + -10)] Reorder the terms: 25.2(-6 + 5x) = 4[x + -3(x + -10)] (-6 * 25.2 + 5x * 25.2) = 4[x + -3(x + -10)] (-151.2 + 126x) = 4[x + -3(x + -10)] Reorder the terms: -151.2 + 126x = 4[x + -3(-10 + x)] -151.2 + 126x = 4[x + (-10 * -3 + x * -3)] -151.2 + 126x = 4[x + (30 + -3x)] Reorder the terms: -151.2 + 126x = 4[30 + x + -3x] Combine like terms: x + -3x = -2x -151.2 + 126x = 4[30 + -2x] -151.2 + 126x = [30 * 4 + -2x * 4] -151.2 + 126x = [120 + -8x] Solving -151.2 + 126x = 120 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -151.2 + 126x + 8x = 120 + -8x + 8x Combine like terms: 126x + 8x = 134x -151.2 + 134x = 120 + -8x + 8x Combine like terms: -8x + 8x = 0 -151.2 + 134x = 120 + 0 -151.2 + 134x = 120 Add '151.2' to each side of the equation. -151.2 + 151.2 + 134x = 120 + 151.2 Combine like terms: -151.2 + 151.2 = 0.0 0.0 + 134x = 120 + 151.2 134x = 120 + 151.2 Combine like terms: 120 + 151.2 = 271.2 134x = 271.2 Divide each side by '134'. x = 2.023880597 Simplifying x = 2.023880597
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