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Simplifying 6(5x + 5) + 1 = 12(4x + -16) + 5x Reorder the terms: 6(5 + 5x) + 1 = 12(4x + -16) + 5x (5 * 6 + 5x * 6) + 1 = 12(4x + -16) + 5x (30 + 30x) + 1 = 12(4x + -16) + 5x Reorder the terms: 30 + 1 + 30x = 12(4x + -16) + 5x Combine like terms: 30 + 1 = 31 31 + 30x = 12(4x + -16) + 5x Reorder the terms: 31 + 30x = 12(-16 + 4x) + 5x 31 + 30x = (-16 * 12 + 4x * 12) + 5x 31 + 30x = (-192 + 48x) + 5x Combine like terms: 48x + 5x = 53x 31 + 30x = -192 + 53x Solving 31 + 30x = -192 + 53x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-53x' to each side of the equation. 31 + 30x + -53x = -192 + 53x + -53x Combine like terms: 30x + -53x = -23x 31 + -23x = -192 + 53x + -53x Combine like terms: 53x + -53x = 0 31 + -23x = -192 + 0 31 + -23x = -192 Add '-31' to each side of the equation. 31 + -31 + -23x = -192 + -31 Combine like terms: 31 + -31 = 0 0 + -23x = -192 + -31 -23x = -192 + -31 Combine like terms: -192 + -31 = -223 -23x = -223 Divide each side by '-23'. x = 9.695652174 Simplifying x = 9.695652174
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