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Simplifying 8x + 2 = 5(3x + 6) Reorder the terms: 2 + 8x = 5(3x + 6) Reorder the terms: 2 + 8x = 5(6 + 3x) 2 + 8x = (6 * 5 + 3x * 5) 2 + 8x = (30 + 15x) Solving 2 + 8x = 30 + 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. 2 + 8x + -15x = 30 + 15x + -15x Combine like terms: 8x + -15x = -7x 2 + -7x = 30 + 15x + -15x Combine like terms: 15x + -15x = 0 2 + -7x = 30 + 0 2 + -7x = 30 Add '-2' to each side of the equation. 2 + -2 + -7x = 30 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 30 + -2 -7x = 30 + -2 Combine like terms: 30 + -2 = 28 -7x = 28 Divide each side by '-7'. x = -4 Simplifying x = -4
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