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Simplifying 7(2x + 5) + -1(-8x + -6) = -12 + -10(4x + 9) Reorder the terms: 7(5 + 2x) + -1(-8x + -6) = -12 + -10(4x + 9) (5 * 7 + 2x * 7) + -1(-8x + -6) = -12 + -10(4x + 9) (35 + 14x) + -1(-8x + -6) = -12 + -10(4x + 9) Reorder the terms: 35 + 14x + -1(-6 + -8x) = -12 + -10(4x + 9) 35 + 14x + (-6 * -1 + -8x * -1) = -12 + -10(4x + 9) 35 + 14x + (6 + 8x) = -12 + -10(4x + 9) Reorder the terms: 35 + 6 + 14x + 8x = -12 + -10(4x + 9) Combine like terms: 35 + 6 = 41 41 + 14x + 8x = -12 + -10(4x + 9) Combine like terms: 14x + 8x = 22x 41 + 22x = -12 + -10(4x + 9) Reorder the terms: 41 + 22x = -12 + -10(9 + 4x) 41 + 22x = -12 + (9 * -10 + 4x * -10) 41 + 22x = -12 + (-90 + -40x) Combine like terms: -12 + -90 = -102 41 + 22x = -102 + -40x Solving 41 + 22x = -102 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 41 + 22x + 40x = -102 + -40x + 40x Combine like terms: 22x + 40x = 62x 41 + 62x = -102 + -40x + 40x Combine like terms: -40x + 40x = 0 41 + 62x = -102 + 0 41 + 62x = -102 Add '-41' to each side of the equation. 41 + -41 + 62x = -102 + -41 Combine like terms: 41 + -41 = 0 0 + 62x = -102 + -41 62x = -102 + -41 Combine like terms: -102 + -41 = -143 62x = -143 Divide each side by '62'. x = -2.306451613 Simplifying x = -2.306451613
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