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Simplifying 3(x + 11) = 4(2x + -3) Reorder the terms: 3(11 + x) = 4(2x + -3) (11 * 3 + x * 3) = 4(2x + -3) (33 + 3x) = 4(2x + -3) Reorder the terms: 33 + 3x = 4(-3 + 2x) 33 + 3x = (-3 * 4 + 2x * 4) 33 + 3x = (-12 + 8x) Solving 33 + 3x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 33 + 3x + -8x = -12 + 8x + -8x Combine like terms: 3x + -8x = -5x 33 + -5x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 33 + -5x = -12 + 0 33 + -5x = -12 Add '-33' to each side of the equation. 33 + -33 + -5x = -12 + -33 Combine like terms: 33 + -33 = 0 0 + -5x = -12 + -33 -5x = -12 + -33 Combine like terms: -12 + -33 = -45 -5x = -45 Divide each side by '-5'. x = 9 Simplifying x = 9
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