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Simplifying 8(2x + 1) + -3(4x + -3) = -62 Reorder the terms: 8(1 + 2x) + -3(4x + -3) = -62 (1 * 8 + 2x * 8) + -3(4x + -3) = -62 (8 + 16x) + -3(4x + -3) = -62 Reorder the terms: 8 + 16x + -3(-3 + 4x) = -62 8 + 16x + (-3 * -3 + 4x * -3) = -62 8 + 16x + (9 + -12x) = -62 Reorder the terms: 8 + 9 + 16x + -12x = -62 Combine like terms: 8 + 9 = 17 17 + 16x + -12x = -62 Combine like terms: 16x + -12x = 4x 17 + 4x = -62 Solving 17 + 4x = -62 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 4x = -62 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = -62 + -17 4x = -62 + -17 Combine like terms: -62 + -17 = -79 4x = -79 Divide each side by '4'. x = -19.75 Simplifying x = -19.75
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