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Simplifying 2(5x + 6) + -4(x + -7) = 52 Reorder the terms: 2(6 + 5x) + -4(x + -7) = 52 (6 * 2 + 5x * 2) + -4(x + -7) = 52 (12 + 10x) + -4(x + -7) = 52 Reorder the terms: 12 + 10x + -4(-7 + x) = 52 12 + 10x + (-7 * -4 + x * -4) = 52 12 + 10x + (28 + -4x) = 52 Reorder the terms: 12 + 28 + 10x + -4x = 52 Combine like terms: 12 + 28 = 40 40 + 10x + -4x = 52 Combine like terms: 10x + -4x = 6x 40 + 6x = 52 Solving 40 + 6x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 6x = 52 + -40 Combine like terms: 40 + -40 = 0 0 + 6x = 52 + -40 6x = 52 + -40 Combine like terms: 52 + -40 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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