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Simplifying 8x + 15 = 3(1 + 4x) Reorder the terms: 15 + 8x = 3(1 + 4x) 15 + 8x = (1 * 3 + 4x * 3) 15 + 8x = (3 + 12x) Solving 15 + 8x = 3 + 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. 15 + 8x + -12x = 3 + 12x + -12x Combine like terms: 8x + -12x = -4x 15 + -4x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 15 + -4x = 3 + 0 15 + -4x = 3 Add '-15' to each side of the equation. 15 + -15 + -4x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = 3 + -15 -4x = 3 + -15 Combine like terms: 3 + -15 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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