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Simplifying 2x + 2(2x + 3) = 10x + -6 Reorder the terms: 2x + 2(3 + 2x) = 10x + -6 2x + (3 * 2 + 2x * 2) = 10x + -6 2x + (6 + 4x) = 10x + -6 Reorder the terms: 6 + 2x + 4x = 10x + -6 Combine like terms: 2x + 4x = 6x 6 + 6x = 10x + -6 Reorder the terms: 6 + 6x = -6 + 10x Solving 6 + 6x = -6 + 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. 6 + 6x + -10x = -6 + 10x + -10x Combine like terms: 6x + -10x = -4x 6 + -4x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -4x = -6 + 0 6 + -4x = -6 Add '-6' to each side of the equation. 6 + -6 + -4x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = -6 + -6 -4x = -6 + -6 Combine like terms: -6 + -6 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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