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Simplifying 2(2x + 3) = 2(5x + -2) + 6 Reorder the terms: 2(3 + 2x) = 2(5x + -2) + 6 (3 * 2 + 2x * 2) = 2(5x + -2) + 6 (6 + 4x) = 2(5x + -2) + 6 Reorder the terms: 6 + 4x = 2(-2 + 5x) + 6 6 + 4x = (-2 * 2 + 5x * 2) + 6 6 + 4x = (-4 + 10x) + 6 Reorder the terms: 6 + 4x = -4 + 6 + 10x Combine like terms: -4 + 6 = 2 6 + 4x = 2 + 10x Solving 6 + 4x = 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. 6 + 4x + -10x = 2 + 10x + -10x Combine like terms: 4x + -10x = -6x 6 + -6x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -6x = 2 + 0 6 + -6x = 2 Add '-6' to each side of the equation. 6 + -6 + -6x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 2 + -6 -6x = 2 + -6 Combine like terms: 2 + -6 = -4 -6x = -4 Divide each side by '-6'. x = 0.6666666667 Simplifying x = 0.6666666667
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