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Simplifying 4(2x + 1) = 7x + -8(3x + 10) Reorder the terms: 4(1 + 2x) = 7x + -8(3x + 10) (1 * 4 + 2x * 4) = 7x + -8(3x + 10) (4 + 8x) = 7x + -8(3x + 10) Reorder the terms: 4 + 8x = 7x + -8(10 + 3x) 4 + 8x = 7x + (10 * -8 + 3x * -8) 4 + 8x = 7x + (-80 + -24x) Reorder the terms: 4 + 8x = -80 + 7x + -24x Combine like terms: 7x + -24x = -17x 4 + 8x = -80 + -17x Solving 4 + 8x = -80 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. 4 + 8x + 17x = -80 + -17x + 17x Combine like terms: 8x + 17x = 25x 4 + 25x = -80 + -17x + 17x Combine like terms: -17x + 17x = 0 4 + 25x = -80 + 0 4 + 25x = -80 Add '-4' to each side of the equation. 4 + -4 + 25x = -80 + -4 Combine like terms: 4 + -4 = 0 0 + 25x = -80 + -4 25x = -80 + -4 Combine like terms: -80 + -4 = -84 25x = -84 Divide each side by '25'. x = -3.36 Simplifying x = -3.36
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