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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 = -13 20 + 8x = -13 + -3x Solving 20 + 8x = -13 + -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 = -13 + -3x + 3x Combine like terms: 8x + 3x = 11x 20 + 11x = -13 + -3x + 3x Combine like terms: -3x + 3x = 0 20 + 11x = -13 + 0 20 + 11x = -13 Add '-20' to each side of the equation. 20 + -20 + 11x = -13 + -20 Combine like terms: 20 + -20 = 0 0 + 11x = -13 + -20 11x = -13 + -20 Combine like terms: -13 + -20 = -33 11x = -33 Divide each side by '11'. x = -3 Simplifying x = -3
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