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Simplifying 3(5 + 2x) + -4(2x + -3) = 11 (5 * 3 + 2x * 3) + -4(2x + -3) = 11 (15 + 6x) + -4(2x + -3) = 11 Reorder the terms: 15 + 6x + -4(-3 + 2x) = 11 15 + 6x + (-3 * -4 + 2x * -4) = 11 15 + 6x + (12 + -8x) = 11 Reorder the terms: 15 + 12 + 6x + -8x = 11 Combine like terms: 15 + 12 = 27 27 + 6x + -8x = 11 Combine like terms: 6x + -8x = -2x 27 + -2x = 11 Solving 27 + -2x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -2x = 11 + -27 Combine like terms: 27 + -27 = 0 0 + -2x = 11 + -27 -2x = 11 + -27 Combine like terms: 11 + -27 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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