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Simplifying 5(6x + 12) + 1 = 4(9x + -3) + 5 Reorder the terms: 5(12 + 6x) + 1 = 4(9x + -3) + 5 (12 * 5 + 6x * 5) + 1 = 4(9x + -3) + 5 (60 + 30x) + 1 = 4(9x + -3) + 5 Reorder the terms: 60 + 1 + 30x = 4(9x + -3) + 5 Combine like terms: 60 + 1 = 61 61 + 30x = 4(9x + -3) + 5 Reorder the terms: 61 + 30x = 4(-3 + 9x) + 5 61 + 30x = (-3 * 4 + 9x * 4) + 5 61 + 30x = (-12 + 36x) + 5 Reorder the terms: 61 + 30x = -12 + 5 + 36x Combine like terms: -12 + 5 = -7 61 + 30x = -7 + 36x Solving 61 + 30x = -7 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 61 + 30x + -36x = -7 + 36x + -36x Combine like terms: 30x + -36x = -6x 61 + -6x = -7 + 36x + -36x Combine like terms: 36x + -36x = 0 61 + -6x = -7 + 0 61 + -6x = -7 Add '-61' to each side of the equation. 61 + -61 + -6x = -7 + -61 Combine like terms: 61 + -61 = 0 0 + -6x = -7 + -61 -6x = -7 + -61 Combine like terms: -7 + -61 = -68 -6x = -68 Divide each side by '-6'. x = 11.33333333 Simplifying x = 11.33333333
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