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Simplifying -2(x + 9) = 7(4 + x) * 51 Reorder the terms: -2(9 + x) = 7(4 + x) * 51 (9 * -2 + x * -2) = 7(4 + x) * 51 (-18 + -2x) = 7(4 + x) * 51 Reorder the terms for easier multiplication: -18 + -2x = 7 * 51(4 + x) Multiply 7 * 51 -18 + -2x = 357(4 + x) -18 + -2x = (4 * 357 + x * 357) -18 + -2x = (1428 + 357x) Solving -18 + -2x = 1428 + 357x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-357x' to each side of the equation. -18 + -2x + -357x = 1428 + 357x + -357x Combine like terms: -2x + -357x = -359x -18 + -359x = 1428 + 357x + -357x Combine like terms: 357x + -357x = 0 -18 + -359x = 1428 + 0 -18 + -359x = 1428 Add '18' to each side of the equation. -18 + 18 + -359x = 1428 + 18 Combine like terms: -18 + 18 = 0 0 + -359x = 1428 + 18 -359x = 1428 + 18 Combine like terms: 1428 + 18 = 1446 -359x = 1446 Divide each side by '-359'. x = -4.027855153 Simplifying x = -4.027855153
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