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Simplifying 6(x + 5) = 10x + -2 Reorder the terms: 6(5 + x) = 10x + -2 (5 * 6 + x * 6) = 10x + -2 (30 + 6x) = 10x + -2 Reorder the terms: 30 + 6x = -2 + 10x Solving 30 + 6x = -2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 30 + 6x + -10x = -2 + 10x + -10x Combine like terms: 6x + -10x = -4x 30 + -4x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 30 + -4x = -2 + 0 30 + -4x = -2 Add '-30' to each side of the equation. 30 + -30 + -4x = -2 + -30 Combine like terms: 30 + -30 = 0 0 + -4x = -2 + -30 -4x = -2 + -30 Combine like terms: -2 + -30 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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