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Simplifying 7(50 + -4x) + 61 = 6(82 + -6x) + 15 (50 * 7 + -4x * 7) + 61 = 6(82 + -6x) + 15 (350 + -28x) + 61 = 6(82 + -6x) + 15 Reorder the terms: 350 + 61 + -28x = 6(82 + -6x) + 15 Combine like terms: 350 + 61 = 411 411 + -28x = 6(82 + -6x) + 15 411 + -28x = (82 * 6 + -6x * 6) + 15 411 + -28x = (492 + -36x) + 15 Reorder the terms: 411 + -28x = 492 + 15 + -36x Combine like terms: 492 + 15 = 507 411 + -28x = 507 + -36x Solving 411 + -28x = 507 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 411 + -28x + 36x = 507 + -36x + 36x Combine like terms: -28x + 36x = 8x 411 + 8x = 507 + -36x + 36x Combine like terms: -36x + 36x = 0 411 + 8x = 507 + 0 411 + 8x = 507 Add '-411' to each side of the equation. 411 + -411 + 8x = 507 + -411 Combine like terms: 411 + -411 = 0 0 + 8x = 507 + -411 8x = 507 + -411 Combine like terms: 507 + -411 = 96 8x = 96 Divide each side by '8'. x = 12 Simplifying x = 12
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