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Simplifying 3x + 5 = -4(2x + -7) Reorder the terms: 5 + 3x = -4(2x + -7) Reorder the terms: 5 + 3x = -4(-7 + 2x) 5 + 3x = (-7 * -4 + 2x * -4) 5 + 3x = (28 + -8x) Solving 5 + 3x = 28 + -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. 5 + 3x + 8x = 28 + -8x + 8x Combine like terms: 3x + 8x = 11x 5 + 11x = 28 + -8x + 8x Combine like terms: -8x + 8x = 0 5 + 11x = 28 + 0 5 + 11x = 28 Add '-5' to each side of the equation. 5 + -5 + 11x = 28 + -5 Combine like terms: 5 + -5 = 0 0 + 11x = 28 + -5 11x = 28 + -5 Combine like terms: 28 + -5 = 23 11x = 23 Divide each side by '11'. x = 2.090909091 Simplifying x = 2.090909091
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