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Simplifying 7(1 + -1x) = 9(1 + 2x) + 4 (1 * 7 + -1x * 7) = 9(1 + 2x) + 4 (7 + -7x) = 9(1 + 2x) + 4 7 + -7x = (1 * 9 + 2x * 9) + 4 7 + -7x = (9 + 18x) + 4 Reorder the terms: 7 + -7x = 9 + 4 + 18x Combine like terms: 9 + 4 = 13 7 + -7x = 13 + 18x Solving 7 + -7x = 13 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 7 + -7x + -18x = 13 + 18x + -18x Combine like terms: -7x + -18x = -25x 7 + -25x = 13 + 18x + -18x Combine like terms: 18x + -18x = 0 7 + -25x = 13 + 0 7 + -25x = 13 Add '-7' to each side of the equation. 7 + -7 + -25x = 13 + -7 Combine like terms: 7 + -7 = 0 0 + -25x = 13 + -7 -25x = 13 + -7 Combine like terms: 13 + -7 = 6 -25x = 6 Divide each side by '-25'. x = -0.24 Simplifying x = -0.24
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