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Simplifying 4(2x + 4) + 7(x + 3) = 180 Reorder the terms: 4(4 + 2x) + 7(x + 3) = 180 (4 * 4 + 2x * 4) + 7(x + 3) = 180 (16 + 8x) + 7(x + 3) = 180 Reorder the terms: 16 + 8x + 7(3 + x) = 180 16 + 8x + (3 * 7 + x * 7) = 180 16 + 8x + (21 + 7x) = 180 Reorder the terms: 16 + 21 + 8x + 7x = 180 Combine like terms: 16 + 21 = 37 37 + 8x + 7x = 180 Combine like terms: 8x + 7x = 15x 37 + 15x = 180 Solving 37 + 15x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 15x = 180 + -37 Combine like terms: 37 + -37 = 0 0 + 15x = 180 + -37 15x = 180 + -37 Combine like terms: 180 + -37 = 143 15x = 143 Divide each side by '15'. x = 9.533333333 Simplifying x = 9.533333333
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