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Simplifying 3(2x + 5) + -4(6x + 1) = 47 Reorder the terms: 3(5 + 2x) + -4(6x + 1) = 47 (5 * 3 + 2x * 3) + -4(6x + 1) = 47 (15 + 6x) + -4(6x + 1) = 47 Reorder the terms: 15 + 6x + -4(1 + 6x) = 47 15 + 6x + (1 * -4 + 6x * -4) = 47 15 + 6x + (-4 + -24x) = 47 Reorder the terms: 15 + -4 + 6x + -24x = 47 Combine like terms: 15 + -4 = 11 11 + 6x + -24x = 47 Combine like terms: 6x + -24x = -18x 11 + -18x = 47 Solving 11 + -18x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -18x = 47 + -11 Combine like terms: 11 + -11 = 0 0 + -18x = 47 + -11 -18x = 47 + -11 Combine like terms: 47 + -11 = 36 -18x = 36 Divide each side by '-18'. x = -2 Simplifying x = -2
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