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Simplifying 2(x + 7) + -6(5x + -3) = 4 Reorder the terms: 2(7 + x) + -6(5x + -3) = 4 (7 * 2 + x * 2) + -6(5x + -3) = 4 (14 + 2x) + -6(5x + -3) = 4 Reorder the terms: 14 + 2x + -6(-3 + 5x) = 4 14 + 2x + (-3 * -6 + 5x * -6) = 4 14 + 2x + (18 + -30x) = 4 Reorder the terms: 14 + 18 + 2x + -30x = 4 Combine like terms: 14 + 18 = 32 32 + 2x + -30x = 4 Combine like terms: 2x + -30x = -28x 32 + -28x = 4 Solving 32 + -28x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -28x = 4 + -32 Combine like terms: 32 + -32 = 0 0 + -28x = 4 + -32 -28x = 4 + -32 Combine like terms: 4 + -32 = -28 -28x = -28 Divide each side by '-28'. x = 1 Simplifying x = 1
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