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Simplifying 5(4 + -2) + 9 = 2(8x + 7) Combine like terms: 4 + -2 = 2 5(2) + 9 = 2(8x + 7) Multiply 5 * 2 10 + 9 = 2(8x + 7) Combine like terms: 10 + 9 = 19 19 = 2(8x + 7) Reorder the terms: 19 = 2(7 + 8x) 19 = (7 * 2 + 8x * 2) 19 = (14 + 16x) Solving 19 = 14 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 19 + -16x = 14 + 16x + -16x Combine like terms: 16x + -16x = 0 19 + -16x = 14 + 0 19 + -16x = 14 Add '-19' to each side of the equation. 19 + -19 + -16x = 14 + -19 Combine like terms: 19 + -19 = 0 0 + -16x = 14 + -19 -16x = 14 + -19 Combine like terms: 14 + -19 = -5 -16x = -5 Divide each side by '-16'. x = 0.3125 Simplifying x = 0.3125
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