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Simplifying 8(2x + 1) = 4(3x + -7) Reorder the terms: 8(1 + 2x) = 4(3x + -7) (1 * 8 + 2x * 8) = 4(3x + -7) (8 + 16x) = 4(3x + -7) Reorder the terms: 8 + 16x = 4(-7 + 3x) 8 + 16x = (-7 * 4 + 3x * 4) 8 + 16x = (-28 + 12x) Solving 8 + 16x = -28 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8 + 16x + -12x = -28 + 12x + -12x Combine like terms: 16x + -12x = 4x 8 + 4x = -28 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + 4x = -28 + 0 8 + 4x = -28 Add '-8' to each side of the equation. 8 + -8 + 4x = -28 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = -28 + -8 4x = -28 + -8 Combine like terms: -28 + -8 = -36 4x = -36 Divide each side by '4'. x = -9 Simplifying x = -9
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