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Simplifying 2x + 3 = -8(3x + 6) Reorder the terms: 3 + 2x = -8(3x + 6) Reorder the terms: 3 + 2x = -8(6 + 3x) 3 + 2x = (6 * -8 + 3x * -8) 3 + 2x = (-48 + -24x) Solving 3 + 2x = -48 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 3 + 2x + 24x = -48 + -24x + 24x Combine like terms: 2x + 24x = 26x 3 + 26x = -48 + -24x + 24x Combine like terms: -24x + 24x = 0 3 + 26x = -48 + 0 3 + 26x = -48 Add '-3' to each side of the equation. 3 + -3 + 26x = -48 + -3 Combine like terms: 3 + -3 = 0 0 + 26x = -48 + -3 26x = -48 + -3 Combine like terms: -48 + -3 = -51 26x = -51 Divide each side by '26'. x = -1.961538462 Simplifying x = -1.961538462
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