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Simplifying 7 + 3[1 + -1x] = 5 + -2[3 + -4x] 7 + [1 * 3 + -1x * 3] = 5 + -2[3 + -4x] 7 + [3 + -3x] = 5 + -2[3 + -4x] Combine like terms: 7 + 3 = 10 10 + -3x = 5 + -2[3 + -4x] 10 + -3x = 5 + [3 * -2 + -4x * -2] 10 + -3x = 5 + [-6 + 8x] Combine like terms: 5 + -6 = -1 10 + -3x = -1 + 8x Solving 10 + -3x = -1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + -3x + -8x = -1 + 8x + -8x Combine like terms: -3x + -8x = -11x 10 + -11x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -11x = -1 + 0 10 + -11x = -1 Add '-10' to each side of the equation. 10 + -10 + -11x = -1 + -10 Combine like terms: 10 + -10 = 0 0 + -11x = -1 + -10 -11x = -1 + -10 Combine like terms: -1 + -10 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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