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Simplifying 2 + 6(x + 5) = 2(5x + -2) Reorder the terms: 2 + 6(5 + x) = 2(5x + -2) 2 + (5 * 6 + x * 6) = 2(5x + -2) 2 + (30 + 6x) = 2(5x + -2) Combine like terms: 2 + 30 = 32 32 + 6x = 2(5x + -2) Reorder the terms: 32 + 6x = 2(-2 + 5x) 32 + 6x = (-2 * 2 + 5x * 2) 32 + 6x = (-4 + 10x) Solving 32 + 6x = -4 + 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. 32 + 6x + -10x = -4 + 10x + -10x Combine like terms: 6x + -10x = -4x 32 + -4x = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 32 + -4x = -4 + 0 32 + -4x = -4 Add '-32' to each side of the equation. 32 + -32 + -4x = -4 + -32 Combine like terms: 32 + -32 = 0 0 + -4x = -4 + -32 -4x = -4 + -32 Combine like terms: -4 + -32 = -36 -4x = -36 Divide each side by '-4'. x = 9 Simplifying x = 9
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