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Simplifying 8(4x + 1) = 14(2x + -3) Reorder the terms: 8(1 + 4x) = 14(2x + -3) (1 * 8 + 4x * 8) = 14(2x + -3) (8 + 32x) = 14(2x + -3) Reorder the terms: 8 + 32x = 14(-3 + 2x) 8 + 32x = (-3 * 14 + 2x * 14) 8 + 32x = (-42 + 28x) Solving 8 + 32x = -42 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 8 + 32x + -28x = -42 + 28x + -28x Combine like terms: 32x + -28x = 4x 8 + 4x = -42 + 28x + -28x Combine like terms: 28x + -28x = 0 8 + 4x = -42 + 0 8 + 4x = -42 Add '-8' to each side of the equation. 8 + -8 + 4x = -42 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = -42 + -8 4x = -42 + -8 Combine like terms: -42 + -8 = -50 4x = -50 Divide each side by '4'. x = -12.5 Simplifying x = -12.5
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