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Simplifying 3x + 4(2x + 5) = 15x + 12 Reorder the terms: 3x + 4(5 + 2x) = 15x + 12 3x + (5 * 4 + 2x * 4) = 15x + 12 3x + (20 + 8x) = 15x + 12 Reorder the terms: 20 + 3x + 8x = 15x + 12 Combine like terms: 3x + 8x = 11x 20 + 11x = 15x + 12 Reorder the terms: 20 + 11x = 12 + 15x Solving 20 + 11x = 12 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 20 + 11x + -15x = 12 + 15x + -15x Combine like terms: 11x + -15x = -4x 20 + -4x = 12 + 15x + -15x Combine like terms: 15x + -15x = 0 20 + -4x = 12 + 0 20 + -4x = 12 Add '-20' to each side of the equation. 20 + -20 + -4x = 12 + -20 Combine like terms: 20 + -20 = 0 0 + -4x = 12 + -20 -4x = 12 + -20 Combine like terms: 12 + -20 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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