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Simplifying 6(3 + -4x) + -2(5x + 8) = 11 + -1(7x + -10) * 3 (3 * 6 + -4x * 6) + -2(5x + 8) = 11 + -1(7x + -10) * 3 (18 + -24x) + -2(5x + 8) = 11 + -1(7x + -10) * 3 Reorder the terms: 18 + -24x + -2(8 + 5x) = 11 + -1(7x + -10) * 3 18 + -24x + (8 * -2 + 5x * -2) = 11 + -1(7x + -10) * 3 18 + -24x + (-16 + -10x) = 11 + -1(7x + -10) * 3 Reorder the terms: 18 + -16 + -24x + -10x = 11 + -1(7x + -10) * 3 Combine like terms: 18 + -16 = 2 2 + -24x + -10x = 11 + -1(7x + -10) * 3 Combine like terms: -24x + -10x = -34x 2 + -34x = 11 + -1(7x + -10) * 3 Reorder the terms: 2 + -34x = 11 + -1(-10 + 7x) * 3 Reorder the terms for easier multiplication: 2 + -34x = 11 + -1 * 3(-10 + 7x) Multiply -1 * 3 2 + -34x = 11 + -3(-10 + 7x) 2 + -34x = 11 + (-10 * -3 + 7x * -3) 2 + -34x = 11 + (30 + -21x) Combine like terms: 11 + 30 = 41 2 + -34x = 41 + -21x Solving 2 + -34x = 41 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 2 + -34x + 21x = 41 + -21x + 21x Combine like terms: -34x + 21x = -13x 2 + -13x = 41 + -21x + 21x Combine like terms: -21x + 21x = 0 2 + -13x = 41 + 0 2 + -13x = 41 Add '-2' to each side of the equation. 2 + -2 + -13x = 41 + -2 Combine like terms: 2 + -2 = 0 0 + -13x = 41 + -2 -13x = 41 + -2 Combine like terms: 41 + -2 = 39 -13x = 39 Divide each side by '-13'. x = -3 Simplifying x = -3
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