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Simplifying 7(x + 2) + -8(4 + 3x) = 47 Reorder the terms: 7(2 + x) + -8(4 + 3x) = 47 (2 * 7 + x * 7) + -8(4 + 3x) = 47 (14 + 7x) + -8(4 + 3x) = 47 14 + 7x + (4 * -8 + 3x * -8) = 47 14 + 7x + (-32 + -24x) = 47 Reorder the terms: 14 + -32 + 7x + -24x = 47 Combine like terms: 14 + -32 = -18 -18 + 7x + -24x = 47 Combine like terms: 7x + -24x = -17x -18 + -17x = 47 Solving -18 + -17x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -17x = 47 + 18 Combine like terms: -18 + 18 = 0 0 + -17x = 47 + 18 -17x = 47 + 18 Combine like terms: 47 + 18 = 65 -17x = 65 Divide each side by '-17'. x = -3.823529412 Simplifying x = -3.823529412
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