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Simplifying 7(4 + -2x + -2x) + 2(9x + 6) = 10 Combine like terms: -2x + -2x = -4x 7(4 + -4x) + 2(9x + 6) = 10 (4 * 7 + -4x * 7) + 2(9x + 6) = 10 (28 + -28x) + 2(9x + 6) = 10 Reorder the terms: 28 + -28x + 2(6 + 9x) = 10 28 + -28x + (6 * 2 + 9x * 2) = 10 28 + -28x + (12 + 18x) = 10 Reorder the terms: 28 + 12 + -28x + 18x = 10 Combine like terms: 28 + 12 = 40 40 + -28x + 18x = 10 Combine like terms: -28x + 18x = -10x 40 + -10x = 10 Solving 40 + -10x = 10 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 + -10x = 10 + -40 Combine like terms: 40 + -40 = 0 0 + -10x = 10 + -40 -10x = 10 + -40 Combine like terms: 10 + -40 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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