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Simplifying 4(2x + 5) = 8 + -3(x + -7) Reorder the terms: 4(5 + 2x) = 8 + -3(x + -7) (5 * 4 + 2x * 4) = 8 + -3(x + -7) (20 + 8x) = 8 + -3(x + -7) Reorder the terms: 20 + 8x = 8 + -3(-7 + x) 20 + 8x = 8 + (-7 * -3 + x * -3) 20 + 8x = 8 + (21 + -3x) Combine like terms: 8 + 21 = 29 20 + 8x = 29 + -3x Solving 20 + 8x = 29 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 20 + 8x + 3x = 29 + -3x + 3x Combine like terms: 8x + 3x = 11x 20 + 11x = 29 + -3x + 3x Combine like terms: -3x + 3x = 0 20 + 11x = 29 + 0 20 + 11x = 29 Add '-20' to each side of the equation. 20 + -20 + 11x = 29 + -20 Combine like terms: 20 + -20 = 0 0 + 11x = 29 + -20 11x = 29 + -20 Combine like terms: 29 + -20 = 9 11x = 9 Divide each side by '11'. x = 0.8181818182 Simplifying x = 0.8181818182
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