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