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Simplifying 6(x + 2) + 2(2x + -5) = 4x + -10 Reorder the terms: 6(2 + x) + 2(2x + -5) = 4x + -10 (2 * 6 + x * 6) + 2(2x + -5) = 4x + -10 (12 + 6x) + 2(2x + -5) = 4x + -10 Reorder the terms: 12 + 6x + 2(-5 + 2x) = 4x + -10 12 + 6x + (-5 * 2 + 2x * 2) = 4x + -10 12 + 6x + (-10 + 4x) = 4x + -10 Reorder the terms: 12 + -10 + 6x + 4x = 4x + -10 Combine like terms: 12 + -10 = 2 2 + 6x + 4x = 4x + -10 Combine like terms: 6x + 4x = 10x 2 + 10x = 4x + -10 Reorder the terms: 2 + 10x = -10 + 4x Solving 2 + 10x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 10x + -4x = -10 + 4x + -4x Combine like terms: 10x + -4x = 6x 2 + 6x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 6x = -10 + 0 2 + 6x = -10 Add '-2' to each side of the equation. 2 + -2 + 6x = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = -10 + -2 6x = -10 + -2 Combine like terms: -10 + -2 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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