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Simplifying 2(8x + 11) + -1(4x + -19) = 6(5 + -2x) + -7 Reorder the terms: 2(11 + 8x) + -1(4x + -19) = 6(5 + -2x) + -7 (11 * 2 + 8x * 2) + -1(4x + -19) = 6(5 + -2x) + -7 (22 + 16x) + -1(4x + -19) = 6(5 + -2x) + -7 Reorder the terms: 22 + 16x + -1(-19 + 4x) = 6(5 + -2x) + -7 22 + 16x + (-19 * -1 + 4x * -1) = 6(5 + -2x) + -7 22 + 16x + (19 + -4x) = 6(5 + -2x) + -7 Reorder the terms: 22 + 19 + 16x + -4x = 6(5 + -2x) + -7 Combine like terms: 22 + 19 = 41 41 + 16x + -4x = 6(5 + -2x) + -7 Combine like terms: 16x + -4x = 12x 41 + 12x = 6(5 + -2x) + -7 41 + 12x = (5 * 6 + -2x * 6) + -7 41 + 12x = (30 + -12x) + -7 Reorder the terms: 41 + 12x = 30 + -7 + -12x Combine like terms: 30 + -7 = 23 41 + 12x = 23 + -12x Solving 41 + 12x = 23 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 41 + 12x + 12x = 23 + -12x + 12x Combine like terms: 12x + 12x = 24x 41 + 24x = 23 + -12x + 12x Combine like terms: -12x + 12x = 0 41 + 24x = 23 + 0 41 + 24x = 23 Add '-41' to each side of the equation. 41 + -41 + 24x = 23 + -41 Combine like terms: 41 + -41 = 0 0 + 24x = 23 + -41 24x = 23 + -41 Combine like terms: 23 + -41 = -18 24x = -18 Divide each side by '24'. x = -0.75 Simplifying x = -0.75
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