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Simplifying 3(x + 11) = 2(15x + -1) Reorder the terms: 3(11 + x) = 2(15x + -1) (11 * 3 + x * 3) = 2(15x + -1) (33 + 3x) = 2(15x + -1) Reorder the terms: 33 + 3x = 2(-1 + 15x) 33 + 3x = (-1 * 2 + 15x * 2) 33 + 3x = (-2 + 30x) Solving 33 + 3x = -2 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 33 + 3x + -30x = -2 + 30x + -30x Combine like terms: 3x + -30x = -27x 33 + -27x = -2 + 30x + -30x Combine like terms: 30x + -30x = 0 33 + -27x = -2 + 0 33 + -27x = -2 Add '-33' to each side of the equation. 33 + -33 + -27x = -2 + -33 Combine like terms: 33 + -33 = 0 0 + -27x = -2 + -33 -27x = -2 + -33 Combine like terms: -2 + -33 = -35 -27x = -35 Divide each side by '-27'. x = 1.296296296 Simplifying x = 1.296296296
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