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Simplifying 3(-1x + 1) + 2(5 + 6x) = 7x + 1 Reorder the terms: 3(1 + -1x) + 2(5 + 6x) = 7x + 1 (1 * 3 + -1x * 3) + 2(5 + 6x) = 7x + 1 (3 + -3x) + 2(5 + 6x) = 7x + 1 3 + -3x + (5 * 2 + 6x * 2) = 7x + 1 3 + -3x + (10 + 12x) = 7x + 1 Reorder the terms: 3 + 10 + -3x + 12x = 7x + 1 Combine like terms: 3 + 10 = 13 13 + -3x + 12x = 7x + 1 Combine like terms: -3x + 12x = 9x 13 + 9x = 7x + 1 Reorder the terms: 13 + 9x = 1 + 7x Solving 13 + 9x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 13 + 9x + -7x = 1 + 7x + -7x Combine like terms: 9x + -7x = 2x 13 + 2x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 13 + 2x = 1 + 0 13 + 2x = 1 Add '-13' to each side of the equation. 13 + -13 + 2x = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 1 + -13 2x = 1 + -13 Combine like terms: 1 + -13 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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