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Simplifying 4(2x + 3) = 10 + 4x Reorder the terms: 4(3 + 2x) = 10 + 4x (3 * 4 + 2x * 4) = 10 + 4x (12 + 8x) = 10 + 4x Solving 12 + 8x = 10 + 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. 12 + 8x + -4x = 10 + 4x + -4x Combine like terms: 8x + -4x = 4x 12 + 4x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 4x = 10 + 0 12 + 4x = 10 Add '-12' to each side of the equation. 12 + -12 + 4x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 10 + -12 4x = 10 + -12 Combine like terms: 10 + -12 = -2 4x = -2 Divide each side by '4'. x = -0.5 Simplifying x = -0.5
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