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Simplifying 3(2x + 1) = 8(4x + -11) Reorder the terms: 3(1 + 2x) = 8(4x + -11) (1 * 3 + 2x * 3) = 8(4x + -11) (3 + 6x) = 8(4x + -11) Reorder the terms: 3 + 6x = 8(-11 + 4x) 3 + 6x = (-11 * 8 + 4x * 8) 3 + 6x = (-88 + 32x) Solving 3 + 6x = -88 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 3 + 6x + -32x = -88 + 32x + -32x Combine like terms: 6x + -32x = -26x 3 + -26x = -88 + 32x + -32x Combine like terms: 32x + -32x = 0 3 + -26x = -88 + 0 3 + -26x = -88 Add '-3' to each side of the equation. 3 + -3 + -26x = -88 + -3 Combine like terms: 3 + -3 = 0 0 + -26x = -88 + -3 -26x = -88 + -3 Combine like terms: -88 + -3 = -91 -26x = -91 Divide each side by '-26'. x = 3.5 Simplifying x = 3.5
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