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Simplifying 3(5 + 2(11 + -1x) + -5) = 5(x + 6) + -4x + 5 3(5 + (11 * 2 + -1x * 2) + -5) = 5(x + 6) + -4x + 5 3(5 + (22 + -2x) + -5) = 5(x + 6) + -4x + 5 Reorder the terms: 3(5 + 22 + -5 + -2x) = 5(x + 6) + -4x + 5 Combine like terms: 5 + 22 = 27 3(27 + -5 + -2x) = 5(x + 6) + -4x + 5 Combine like terms: 27 + -5 = 22 3(22 + -2x) = 5(x + 6) + -4x + 5 (22 * 3 + -2x * 3) = 5(x + 6) + -4x + 5 (66 + -6x) = 5(x + 6) + -4x + 5 Reorder the terms: 66 + -6x = 5(6 + x) + -4x + 5 66 + -6x = (6 * 5 + x * 5) + -4x + 5 66 + -6x = (30 + 5x) + -4x + 5 Reorder the terms: 66 + -6x = 30 + 5 + 5x + -4x Combine like terms: 30 + 5 = 35 66 + -6x = 35 + 5x + -4x Combine like terms: 5x + -4x = 1x 66 + -6x = 35 + 1x Solving 66 + -6x = 35 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 66 + -6x + -1x = 35 + 1x + -1x Combine like terms: -6x + -1x = -7x 66 + -7x = 35 + 1x + -1x Combine like terms: 1x + -1x = 0 66 + -7x = 35 + 0 66 + -7x = 35 Add '-66' to each side of the equation. 66 + -66 + -7x = 35 + -66 Combine like terms: 66 + -66 = 0 0 + -7x = 35 + -66 -7x = 35 + -66 Combine like terms: 35 + -66 = -31 -7x = -31 Divide each side by '-7'. x = 4.428571429 Simplifying x = 4.428571429
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