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Simplifying 5(6 + 3x) = 7x + -2 (6 * 5 + 3x * 5) = 7x + -2 (30 + 15x) = 7x + -2 Reorder the terms: 30 + 15x = -2 + 7x Solving 30 + 15x = -2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 30 + 15x + -7x = -2 + 7x + -7x Combine like terms: 15x + -7x = 8x 30 + 8x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 30 + 8x = -2 + 0 30 + 8x = -2 Add '-30' to each side of the equation. 30 + -30 + 8x = -2 + -30 Combine like terms: 30 + -30 = 0 0 + 8x = -2 + -30 8x = -2 + -30 Combine like terms: -2 + -30 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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