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Simplifying 4(2x + 1) = 3x + -5 + x + 9 Reorder the terms: 4(1 + 2x) = 3x + -5 + x + 9 (1 * 4 + 2x * 4) = 3x + -5 + x + 9 (4 + 8x) = 3x + -5 + x + 9 Reorder the terms: 4 + 8x = -5 + 9 + 3x + x Combine like terms: -5 + 9 = 4 4 + 8x = 4 + 3x + x Combine like terms: 3x + x = 4x 4 + 8x = 4 + 4x Add '-4' to each side of the equation. 4 + -4 + 8x = 4 + -4 + 4x Combine like terms: 4 + -4 = 0 0 + 8x = 4 + -4 + 4x 8x = 4 + -4 + 4x Combine like terms: 4 + -4 = 0 8x = 0 + 4x 8x = 4x Solving 8x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8x + -4x = 4x + -4x Combine like terms: 8x + -4x = 4x 4x = 4x + -4x Combine like terms: 4x + -4x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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