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Simplifying 7(x + 2) + 4(2x + -3) = 47 Reorder the terms: 7(2 + x) + 4(2x + -3) = 47 (2 * 7 + x * 7) + 4(2x + -3) = 47 (14 + 7x) + 4(2x + -3) = 47 Reorder the terms: 14 + 7x + 4(-3 + 2x) = 47 14 + 7x + (-3 * 4 + 2x * 4) = 47 14 + 7x + (-12 + 8x) = 47 Reorder the terms: 14 + -12 + 7x + 8x = 47 Combine like terms: 14 + -12 = 2 2 + 7x + 8x = 47 Combine like terms: 7x + 8x = 15x 2 + 15x = 47 Solving 2 + 15x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 15x = 47 + -2 Combine like terms: 2 + -2 = 0 0 + 15x = 47 + -2 15x = 47 + -2 Combine like terms: 47 + -2 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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