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Simplifying 5(6x + 12) + 1 = 3(9x + -3) + 5 Reorder the terms: 5(12 + 6x) + 1 = 3(9x + -3) + 5 (12 * 5 + 6x * 5) + 1 = 3(9x + -3) + 5 (60 + 30x) + 1 = 3(9x + -3) + 5 Reorder the terms: 60 + 1 + 30x = 3(9x + -3) + 5 Combine like terms: 60 + 1 = 61 61 + 30x = 3(9x + -3) + 5 Reorder the terms: 61 + 30x = 3(-3 + 9x) + 5 61 + 30x = (-3 * 3 + 9x * 3) + 5 61 + 30x = (-9 + 27x) + 5 Reorder the terms: 61 + 30x = -9 + 5 + 27x Combine like terms: -9 + 5 = -4 61 + 30x = -4 + 27x Solving 61 + 30x = -4 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 61 + 30x + -27x = -4 + 27x + -27x Combine like terms: 30x + -27x = 3x 61 + 3x = -4 + 27x + -27x Combine like terms: 27x + -27x = 0 61 + 3x = -4 + 0 61 + 3x = -4 Add '-61' to each side of the equation. 61 + -61 + 3x = -4 + -61 Combine like terms: 61 + -61 = 0 0 + 3x = -4 + -61 3x = -4 + -61 Combine like terms: -4 + -61 = -65 3x = -65 Divide each side by '3'. x = -21.66666667 Simplifying x = -21.66666667
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