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Simplifying 5(6x + 1) = 9(4x + -3) + 11 Reorder the terms: 5(1 + 6x) = 9(4x + -3) + 11 (1 * 5 + 6x * 5) = 9(4x + -3) + 11 (5 + 30x) = 9(4x + -3) + 11 Reorder the terms: 5 + 30x = 9(-3 + 4x) + 11 5 + 30x = (-3 * 9 + 4x * 9) + 11 5 + 30x = (-27 + 36x) + 11 Reorder the terms: 5 + 30x = -27 + 11 + 36x Combine like terms: -27 + 11 = -16 5 + 30x = -16 + 36x Solving 5 + 30x = -16 + 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. 5 + 30x + -36x = -16 + 36x + -36x Combine like terms: 30x + -36x = -6x 5 + -6x = -16 + 36x + -36x Combine like terms: 36x + -36x = 0 5 + -6x = -16 + 0 5 + -6x = -16 Add '-5' to each side of the equation. 5 + -5 + -6x = -16 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = -16 + -5 -6x = -16 + -5 Combine like terms: -16 + -5 = -21 -6x = -21 Divide each side by '-6'. x = 3.5 Simplifying x = 3.5
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