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Simplifying x + 3(8x + 4) = 5x(4 + 2) Reorder the terms: x + 3(4 + 8x) = 5x(4 + 2) x + (4 * 3 + 8x * 3) = 5x(4 + 2) x + (12 + 24x) = 5x(4 + 2) Reorder the terms: 12 + x + 24x = 5x(4 + 2) Combine like terms: x + 24x = 25x 12 + 25x = 5x(4 + 2) Combine like terms: 4 + 2 = 6 12 + 25x = 5x(6) Reorder the terms for easier multiplication: 12 + 25x = 5 * 6x Multiply 5 * 6 12 + 25x = 30x Solving 12 + 25x = 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 12 + 25x + -30x = 30x + -30x Combine like terms: 25x + -30x = -5x 12 + -5x = 30x + -30x Combine like terms: 30x + -30x = 0 12 + -5x = 0 Add '-12' to each side of the equation. 12 + -12 + -5x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 0 + -12 -5x = 0 + -12 Combine like terms: 0 + -12 = -12 -5x = -12 Divide each side by '-5'. x = 2.4 Simplifying x = 2.4
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